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Finding the Third Proportional to 15,874.50 and 34,862.25

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Solution

The third proportional to 15,874.50 and 34,862.25 is: 76,561.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,874.50 : 34,862.25 = 34,862.25 : x
  2. Step 2: Convert to fraction form
    15,874.50/34,862.25 = 34,862.25/x
  3. Step 3: Cross multiply
    15,874.50x = 34,862.25 × 34,862.25
  4. Step 4: Simplify right side
    15,874.50x = 1,215,376,475.06
  5. Step 5: Solve for x
    x = 1,215,376,475.06/15,874.50
  6. Step 6: Final answer
    x = 76,561.56

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.