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Finding the Third Proportional to 22,741 and 34,602

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Solution

The third proportional to 22,741 and 34,602 is: 52,649.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,741 : 34,602 = 34,602 : x
  2. Step 2: Convert to fraction form
    22,741/34,602 = 34,602/x
  3. Step 3: Cross multiply
    22,741x = 34,602 × 34,602
  4. Step 4: Simplify right side
    22,741x = 1,197,298,404
  5. Step 5: Solve for x
    x = 1,197,298,404/22,741
  6. Step 6: Final answer
    x = 52,649.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.