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Finding the Third Proportional to 14,532 and 22,098

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Solution

The third proportional to 14,532 and 22,098 is: 33,603.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,532 : 22,098 = 22,098 : x
  2. Step 2: Convert to fraction form
    14,532/22,098 = 22,098/x
  3. Step 3: Cross multiply
    14,532x = 22,098 × 22,098
  4. Step 4: Simplify right side
    14,532x = 488,321,604
  5. Step 5: Solve for x
    x = 488,321,604/14,532
  6. Step 6: Final answer
    x = 33,603.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.