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Finding the Third Proportional to 15,874.31 and 25,115.06

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Solution

The third proportional to 15,874.31 and 25,115.06 is: 39,735.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,874.31 : 25,115.06 = 25,115.06 : x
  2. Step 2: Convert to fraction form
    15,874.31/25,115.06 = 25,115.06/x
  3. Step 3: Cross multiply
    15,874.31x = 25,115.06 × 25,115.06
  4. Step 4: Simplify right side
    15,874.31x = 630,766,364.38
  5. Step 5: Solve for x
    x = 630,766,364.38/15,874.31
  6. Step 6: Final answer
    x = 39,735.04

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.