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Finding the Third Proportional to 6,417 and 15,178.50

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Solution

The third proportional to 6,417 and 15,178.50 is: 35,902.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417 : 15,178.50 = 15,178.50 : x
  2. Step 2: Convert to fraction form
    6,417/15,178.50 = 15,178.50/x
  3. Step 3: Cross multiply
    6,417x = 15,178.50 × 15,178.50
  4. Step 4: Simplify right side
    6,417x = 230,386,862.25
  5. Step 5: Solve for x
    x = 230,386,862.25/6,417
  6. Step 6: Final answer
    x = 35,902.58

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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.