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Finding the Third Proportional to 16,222 and 24,637

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Solution

The third proportional to 16,222 and 24,637 is: 37,417.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,222 : 24,637 = 24,637 : x
  2. Step 2: Convert to fraction form
    16,222/24,637 = 24,637/x
  3. Step 3: Cross multiply
    16,222x = 24,637 × 24,637
  4. Step 4: Simplify right side
    16,222x = 606,981,769
  5. Step 5: Solve for x
    x = 606,981,769/16,222
  6. Step 6: Final answer
    x = 37,417.20

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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.