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Finding the Third Proportional to 10,369 and 22,681

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Solution

The third proportional to 10,369 and 22,681 is: 49,612.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369 : 22,681 = 22,681 : x
  2. Step 2: Convert to fraction form
    10,369/22,681 = 22,681/x
  3. Step 3: Cross multiply
    10,369x = 22,681 × 22,681
  4. Step 4: Simplify right side
    10,369x = 514,427,761
  5. Step 5: Solve for x
    x = 514,427,761/10,369
  6. Step 6: Final answer
    x = 49,612.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.