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Finding the Third Proportional to 54,944 and 62,720

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Solution

The third proportional to 54,944 and 62,720 is: 71,596.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,944 : 62,720 = 62,720 : x
  2. Step 2: Convert to fraction form
    54,944/62,720 = 62,720/x
  3. Step 3: Cross multiply
    54,944x = 62,720 × 62,720
  4. Step 4: Simplify right side
    54,944x = 3,933,798,400
  5. Step 5: Solve for x
    x = 3,933,798,400/54,944
  6. Step 6: Final answer
    x = 71,596.51

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.