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Finding the Third Proportional to 10,332 and 23,676

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Solution

The third proportional to 10,332 and 23,676 is: 54,254.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,332 : 23,676 = 23,676 : x
  2. Step 2: Convert to fraction form
    10,332/23,676 = 23,676/x
  3. Step 3: Cross multiply
    10,332x = 23,676 × 23,676
  4. Step 4: Simplify right side
    10,332x = 560,552,976
  5. Step 5: Solve for x
    x = 560,552,976/10,332
  6. Step 6: Final answer
    x = 54,254.06

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.