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Finding the Third Proportional to 10,232 and 11,384

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Solution

The third proportional to 10,232 and 11,384 is: 12,665.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232 : 11,384 = 11,384 : x
  2. Step 2: Convert to fraction form
    10,232/11,384 = 11,384/x
  3. Step 3: Cross multiply
    10,232x = 11,384 × 11,384
  4. Step 4: Simplify right side
    10,232x = 129,595,456
  5. Step 5: Solve for x
    x = 129,595,456/10,232
  6. Step 6: Final answer
    x = 12,665.70

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.