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Finding the Third Proportional to 29,449 and 43,600

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Solution

The third proportional to 29,449 and 43,600 is: 64,550.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,449 : 43,600 = 43,600 : x
  2. Step 2: Convert to fraction form
    29,449/43,600 = 43,600/x
  3. Step 3: Cross multiply
    29,449x = 43,600 × 43,600
  4. Step 4: Simplify right side
    29,449x = 1,900,960,000
  5. Step 5: Solve for x
    x = 1,900,960,000/29,449
  6. Step 6: Final answer
    x = 64,550.92

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.