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Finding the Third Proportional to 14,641 and 22,087

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Solution

The third proportional to 14,641 and 22,087 is: 33,319.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,641 : 22,087 = 22,087 : x
  2. Step 2: Convert to fraction form
    14,641/22,087 = 22,087/x
  3. Step 3: Cross multiply
    14,641x = 22,087 × 22,087
  4. Step 4: Simplify right side
    14,641x = 487,835,569
  5. Step 5: Solve for x
    x = 487,835,569/14,641
  6. Step 6: Final answer
    x = 33,319.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.