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Finding the Third Proportional to 10,332 and 24,098

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Solution

The third proportional to 10,332 and 24,098 is: 56,205.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,332 : 24,098 = 24,098 : x
  2. Step 2: Convert to fraction form
    10,332/24,098 = 24,098/x
  3. Step 3: Cross multiply
    10,332x = 24,098 × 24,098
  4. Step 4: Simplify right side
    10,332x = 580,713,604
  5. Step 5: Solve for x
    x = 580,713,604/10,332
  6. Step 6: Final answer
    x = 56,205.34

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.