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Finding the Third Proportional to 31,768 and 44,627

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Solution

The third proportional to 31,768 and 44,627 is: 62,691.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,768 : 44,627 = 44,627 : x
  2. Step 2: Convert to fraction form
    31,768/44,627 = 44,627/x
  3. Step 3: Cross multiply
    31,768x = 44,627 × 44,627
  4. Step 4: Simplify right side
    31,768x = 1,991,569,129
  5. Step 5: Solve for x
    x = 1,991,569,129/31,768
  6. Step 6: Final answer
    x = 62,691.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.