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Finding the Third Proportional to 8,250 and 11,754

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Solution

The third proportional to 8,250 and 11,754 is: 16,746.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,250 : 11,754 = 11,754 : x
  2. Step 2: Convert to fraction form
    8,250/11,754 = 11,754/x
  3. Step 3: Cross multiply
    8,250x = 11,754 × 11,754
  4. Step 4: Simplify right side
    8,250x = 138,156,516
  5. Step 5: Solve for x
    x = 138,156,516/8,250
  6. Step 6: Final answer
    x = 16,746.24

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.