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Finding the Third Proportional to 34,562.25 and 52,160.25

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Solution

The third proportional to 34,562.25 and 52,160.25 is: 78,718.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,562.25 : 52,160.25 = 52,160.25 : x
  2. Step 2: Convert to fraction form
    34,562.25/52,160.25 = 52,160.25/x
  3. Step 3: Cross multiply
    34,562.25x = 52,160.25 × 52,160.25
  4. Step 4: Simplify right side
    34,562.25x = 2,720,691,680.06
  5. Step 5: Solve for x
    x = 2,720,691,680.06/34,562.25
  6. Step 6: Final answer
    x = 78,718.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.