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Finding the Third Proportional to 31,644 and 44,550

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Solution

The third proportional to 31,644 and 44,550 is: 62,719.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,644 : 44,550 = 44,550 : x
  2. Step 2: Convert to fraction form
    31,644/44,550 = 44,550/x
  3. Step 3: Cross multiply
    31,644x = 44,550 × 44,550
  4. Step 4: Simplify right side
    31,644x = 1,984,702,500
  5. Step 5: Solve for x
    x = 1,984,702,500/31,644
  6. Step 6: Final answer
    x = 62,719.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.