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Finding the Third Proportional to 29,591 and 44,693

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Solution

The third proportional to 29,591 and 44,693 is: 67,502.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,591 : 44,693 = 44,693 : x
  2. Step 2: Convert to fraction form
    29,591/44,693 = 44,693/x
  3. Step 3: Cross multiply
    29,591x = 44,693 × 44,693
  4. Step 4: Simplify right side
    29,591x = 1,997,464,249
  5. Step 5: Solve for x
    x = 1,997,464,249/29,591
  6. Step 6: Final answer
    x = 67,502.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.