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Finding the Third Proportional to 11,637 and 25,446

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Solution

The third proportional to 11,637 and 25,446 is: 55,641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,637 : 25,446 = 25,446 : x
  2. Step 2: Convert to fraction form
    11,637/25,446 = 25,446/x
  3. Step 3: Cross multiply
    11,637x = 25,446 × 25,446
  4. Step 4: Simplify right side
    11,637x = 647,498,916
  5. Step 5: Solve for x
    x = 647,498,916/11,637
  6. Step 6: Final answer
    x = 55,641.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.