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Finding the Third Proportional to 14,387 and 21,581.50

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Solution

The third proportional to 14,387 and 21,581.50 is: 32,373.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,387 : 21,581.50 = 21,581.50 : x
  2. Step 2: Convert to fraction form
    14,387/21,581.50 = 21,581.50/x
  3. Step 3: Cross multiply
    14,387x = 21,581.50 × 21,581.50
  4. Step 4: Simplify right side
    14,387x = 465,761,142.25
  5. Step 5: Solve for x
    x = 465,761,142.25/14,387
  6. Step 6: Final answer
    x = 32,373.75

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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.