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Finding the Third Proportional to 8,240 and 12,758

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Solution

The third proportional to 8,240 and 12,758 is: 19,753.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,240 : 12,758 = 12,758 : x
  2. Step 2: Convert to fraction form
    8,240/12,758 = 12,758/x
  3. Step 3: Cross multiply
    8,240x = 12,758 × 12,758
  4. Step 4: Simplify right side
    8,240x = 162,766,564
  5. Step 5: Solve for x
    x = 162,766,564/8,240
  6. Step 6: Final answer
    x = 19,753.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.