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Finding the Third Proportional to 14,425 and 21,637

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Solution

The third proportional to 14,425 and 21,637 is: 32,454.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,425 : 21,637 = 21,637 : x
  2. Step 2: Convert to fraction form
    14,425/21,637 = 21,637/x
  3. Step 3: Cross multiply
    14,425x = 21,637 × 21,637
  4. Step 4: Simplify right side
    14,425x = 468,159,769
  5. Step 5: Solve for x
    x = 468,159,769/14,425
  6. Step 6: Final answer
    x = 32,454.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.