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Finding the Third Proportional to 7,787 and 9,461

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Solution

The third proportional to 7,787 and 9,461 is: 11,494.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787 : 9,461 = 9,461 : x
  2. Step 2: Convert to fraction form
    7,787/9,461 = 9,461/x
  3. Step 3: Cross multiply
    7,787x = 9,461 × 9,461
  4. Step 4: Simplify right side
    7,787x = 89,510,521
  5. Step 5: Solve for x
    x = 89,510,521/7,787
  6. Step 6: Final answer
    x = 11,494.87

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.