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Finding the Third Proportional to 52,791 and 83,587.50

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Solution

The third proportional to 52,791 and 83,587.50 is: 132,349.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,791 : 83,587.50 = 83,587.50 : x
  2. Step 2: Convert to fraction form
    52,791/83,587.50 = 83,587.50/x
  3. Step 3: Cross multiply
    52,791x = 83,587.50 × 83,587.50
  4. Step 4: Simplify right side
    52,791x = 6,986,870,156.25
  5. Step 5: Solve for x
    x = 6,986,870,156.25/52,791
  6. Step 6: Final answer
    x = 132,349.65

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.