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Finding the Third Proportional to 29,484 and 44,694

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Solution

The third proportional to 29,484 and 44,694 is: 67,750.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,484 : 44,694 = 44,694 : x
  2. Step 2: Convert to fraction form
    29,484/44,694 = 44,694/x
  3. Step 3: Cross multiply
    29,484x = 44,694 × 44,694
  4. Step 4: Simplify right side
    29,484x = 1,997,553,636
  5. Step 5: Solve for x
    x = 1,997,553,636/29,484
  6. Step 6: Final answer
    x = 67,750.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.