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Finding the Third Proportional to 7,766 and 12,374

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Solution

The third proportional to 7,766 and 12,374 is: 19,716.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766 : 12,374 = 12,374 : x
  2. Step 2: Convert to fraction form
    7,766/12,374 = 12,374/x
  3. Step 3: Cross multiply
    7,766x = 12,374 × 12,374
  4. Step 4: Simplify right side
    7,766x = 153,115,876
  5. Step 5: Solve for x
    x = 153,115,876/7,766
  6. Step 6: Final answer
    x = 19,716.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.