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Finding the Third Proportional to 52,899.75 and 71,763.47

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Solution

The third proportional to 52,899.75 and 71,763.47 is: 97,353.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,899.75 : 71,763.47 = 71,763.47 : x
  2. Step 2: Convert to fraction form
    52,899.75/71,763.47 = 71,763.47/x
  3. Step 3: Cross multiply
    52,899.75x = 71,763.47 × 71,763.47
  4. Step 4: Simplify right side
    52,899.75x = 5,149,995,447.03
  5. Step 5: Solve for x
    x = 5,149,995,447.03/52,899.75
  6. Step 6: Final answer
    x = 97,353.87

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.