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Finding the Third Proportional to 14,591 and 22,637

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Solution

The third proportional to 14,591 and 22,637 is: 35,119.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,591 : 22,637 = 22,637 : x
  2. Step 2: Convert to fraction form
    14,591/22,637 = 22,637/x
  3. Step 3: Cross multiply
    14,591x = 22,637 × 22,637
  4. Step 4: Simplify right side
    14,591x = 512,433,769
  5. Step 5: Solve for x
    x = 512,433,769/14,591
  6. Step 6: Final answer
    x = 35,119.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.