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Finding the Third Proportional to 7,870 and 11,761

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Solution

The third proportional to 7,870 and 11,761 is: 17,575.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870 : 11,761 = 11,761 : x
  2. Step 2: Convert to fraction form
    7,870/11,761 = 11,761/x
  3. Step 3: Cross multiply
    7,870x = 11,761 × 11,761
  4. Step 4: Simplify right side
    7,870x = 138,321,121
  5. Step 5: Solve for x
    x = 138,321,121/7,870
  6. Step 6: Final answer
    x = 17,575.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.