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Finding the Third Proportional to 57,665.25 and 77,591.25

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Solution

The third proportional to 57,665.25 and 77,591.25 is: 104,402.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,665.25 : 77,591.25 = 77,591.25 : x
  2. Step 2: Convert to fraction form
    57,665.25/77,591.25 = 77,591.25/x
  3. Step 3: Cross multiply
    57,665.25x = 77,591.25 × 77,591.25
  4. Step 4: Simplify right side
    57,665.25x = 6,020,402,076.56
  5. Step 5: Solve for x
    x = 6,020,402,076.56/57,665.25
  6. Step 6: Final answer
    x = 104,402.60

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.