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Finding the Third Proportional to 15,338 and 22,791

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Solution

The third proportional to 15,338 and 22,791 is: 33,865.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,338 : 22,791 = 22,791 : x
  2. Step 2: Convert to fraction form
    15,338/22,791 = 22,791/x
  3. Step 3: Cross multiply
    15,338x = 22,791 × 22,791
  4. Step 4: Simplify right side
    15,338x = 519,429,681
  5. Step 5: Solve for x
    x = 519,429,681/15,338
  6. Step 6: Final answer
    x = 33,865.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.