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Finding the Third Proportional to 44,407 and 67,931

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Solution

The third proportional to 44,407 and 67,931 is: 103,916.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,407 : 67,931 = 67,931 : x
  2. Step 2: Convert to fraction form
    44,407/67,931 = 67,931/x
  3. Step 3: Cross multiply
    44,407x = 67,931 × 67,931
  4. Step 4: Simplify right side
    44,407x = 4,614,620,761
  5. Step 5: Solve for x
    x = 4,614,620,761/44,407
  6. Step 6: Final answer
    x = 103,916.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.