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Finding the Third Proportional to 13,822 and 29,287

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Solution

The third proportional to 13,822 and 29,287 is: 62,055.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822 : 29,287 = 29,287 : x
  2. Step 2: Convert to fraction form
    13,822/29,287 = 29,287/x
  3. Step 3: Cross multiply
    13,822x = 29,287 × 29,287
  4. Step 4: Simplify right side
    13,822x = 857,728,369
  5. Step 5: Solve for x
    x = 857,728,369/13,822
  6. Step 6: Final answer
    x = 62,055.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.