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Finding the Third Proportional to 15,135.75 and 35,857.50

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Solution

The third proportional to 15,135.75 and 35,857.50 is: 84,948.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,135.75 : 35,857.50 = 35,857.50 : x
  2. Step 2: Convert to fraction form
    15,135.75/35,857.50 = 35,857.50/x
  3. Step 3: Cross multiply
    15,135.75x = 35,857.50 × 35,857.50
  4. Step 4: Simplify right side
    15,135.75x = 1,285,760,306.25
  5. Step 5: Solve for x
    x = 1,285,760,306.25/15,135.75
  6. Step 6: Final answer
    x = 84,948.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.