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Finding the Third Proportional to 14,540 and 22,391

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Solution

The third proportional to 14,540 and 22,391 is: 34,481.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,540 : 22,391 = 22,391 : x
  2. Step 2: Convert to fraction form
    14,540/22,391 = 22,391/x
  3. Step 3: Cross multiply
    14,540x = 22,391 × 22,391
  4. Step 4: Simplify right side
    14,540x = 501,356,881
  5. Step 5: Solve for x
    x = 501,356,881/14,540
  6. Step 6: Final answer
    x = 34,481.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.