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Finding the Third Proportional to 22,743 and 49,371

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Solution

The third proportional to 22,743 and 49,371 is: 107,175.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,743 : 49,371 = 49,371 : x
  2. Step 2: Convert to fraction form
    22,743/49,371 = 49,371/x
  3. Step 3: Cross multiply
    22,743x = 49,371 × 49,371
  4. Step 4: Simplify right side
    22,743x = 2,437,495,641
  5. Step 5: Solve for x
    x = 2,437,495,641/22,743
  6. Step 6: Final answer
    x = 107,175.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.