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Finding the Third Proportional to 29,348 and 43,909

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Solution

The third proportional to 29,348 and 43,909 is: 65,694.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,348 : 43,909 = 43,909 : x
  2. Step 2: Convert to fraction form
    29,348/43,909 = 43,909/x
  3. Step 3: Cross multiply
    29,348x = 43,909 × 43,909
  4. Step 4: Simplify right side
    29,348x = 1,928,000,281
  5. Step 5: Solve for x
    x = 1,928,000,281/29,348
  6. Step 6: Final answer
    x = 65,694.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.