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Finding the Third Proportional to 10,940 and 16,562

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Solution

The third proportional to 10,940 and 16,562 is: 25,073.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940 : 16,562 = 16,562 : x
  2. Step 2: Convert to fraction form
    10,940/16,562 = 16,562/x
  3. Step 3: Cross multiply
    10,940x = 16,562 × 16,562
  4. Step 4: Simplify right side
    10,940x = 274,299,844
  5. Step 5: Solve for x
    x = 274,299,844/10,940
  6. Step 6: Final answer
    x = 25,073.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.