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Finding the Third Proportional to 57,685.50 and 77,601.38

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Solution

The third proportional to 57,685.50 and 77,601.38 is: 104,393.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,685.50 : 77,601.38 = 77,601.38 : x
  2. Step 2: Convert to fraction form
    57,685.50/77,601.38 = 77,601.38/x
  3. Step 3: Cross multiply
    57,685.50x = 77,601.38 × 77,601.38
  4. Step 4: Simplify right side
    57,685.50x = 6,021,973,401.89
  5. Step 5: Solve for x
    x = 6,021,973,401.89/57,685.50
  6. Step 6: Final answer
    x = 104,393.19

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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.