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Finding the Third Proportional to 57,534.50 and 77,732.75

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Solution

The third proportional to 57,534.50 and 77,732.75 is: 105,021.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,534.50 : 77,732.75 = 77,732.75 : x
  2. Step 2: Convert to fraction form
    57,534.50/77,732.75 = 77,732.75/x
  3. Step 3: Cross multiply
    57,534.50x = 77,732.75 × 77,732.75
  4. Step 4: Simplify right side
    57,534.50x = 6,042,380,422.56
  5. Step 5: Solve for x
    x = 6,042,380,422.56/57,534.50
  6. Step 6: Final answer
    x = 105,021.86

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Why These Related Problems?

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