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Finding the Third Proportional to 57,765.66 and 77,266.41

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Solution

The third proportional to 57,765.66 and 77,266.41 is: 103,350.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,765.66 : 77,266.41 = 77,266.41 : x
  2. Step 2: Convert to fraction form
    57,765.66/77,266.41 = 77,266.41/x
  3. Step 3: Cross multiply
    57,765.66x = 77,266.41 × 77,266.41
  4. Step 4: Simplify right side
    57,765.66x = 5,970,097,534.79
  5. Step 5: Solve for x
    x = 5,970,097,534.79/57,765.66
  6. Step 6: Final answer
    x = 103,350.29

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.