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Finding the Third Proportional to 52,034.25 and 57,501.75

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Solution

The third proportional to 52,034.25 and 57,501.75 is: 63,543.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,034.25 : 57,501.75 = 57,501.75 : x
  2. Step 2: Convert to fraction form
    52,034.25/57,501.75 = 57,501.75/x
  3. Step 3: Cross multiply
    52,034.25x = 57,501.75 × 57,501.75
  4. Step 4: Simplify right side
    52,034.25x = 3,306,451,253.06
  5. Step 5: Solve for x
    x = 3,306,451,253.06/52,034.25
  6. Step 6: Final answer
    x = 63,543.75

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.