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Finding the Third Proportional to 57,530 and 77,727

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Solution

The third proportional to 57,530 and 77,727 is: 105,014.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,530 : 77,727 = 77,727 : x
  2. Step 2: Convert to fraction form
    57,530/77,727 = 77,727/x
  3. Step 3: Cross multiply
    57,530x = 77,727 × 77,727
  4. Step 4: Simplify right side
    57,530x = 6,041,486,529
  5. Step 5: Solve for x
    x = 6,041,486,529/57,530
  6. Step 6: Final answer
    x = 105,014.54

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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.