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Finding the Third Proportional to 23,156.50 and 35,878.75

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Solution

The third proportional to 23,156.50 and 35,878.75 is: 55,590.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,156.50 : 35,878.75 = 35,878.75 : x
  2. Step 2: Convert to fraction form
    23,156.50/35,878.75 = 35,878.75/x
  3. Step 3: Cross multiply
    23,156.50x = 35,878.75 × 35,878.75
  4. Step 4: Simplify right side
    23,156.50x = 1,287,284,701.56
  5. Step 5: Solve for x
    x = 1,287,284,701.56/23,156.50
  6. Step 6: Final answer
    x = 55,590.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.