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Finding the Third Proportional to 22,299 and 29,743

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Solution

The third proportional to 22,299 and 29,743 is: 39,672.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,299 : 29,743 = 29,743 : x
  2. Step 2: Convert to fraction form
    22,299/29,743 = 29,743/x
  3. Step 3: Cross multiply
    22,299x = 29,743 × 29,743
  4. Step 4: Simplify right side
    22,299x = 884,646,049
  5. Step 5: Solve for x
    x = 884,646,049/22,299
  6. Step 6: Final answer
    x = 39,672.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.