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Finding the Third Proportional to 7,786 and 9,460

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Solution

The third proportional to 7,786 and 9,460 is: 11,493.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786 : 9,460 = 9,460 : x
  2. Step 2: Convert to fraction form
    7,786/9,460 = 9,460/x
  3. Step 3: Cross multiply
    7,786x = 9,460 × 9,460
  4. Step 4: Simplify right side
    7,786x = 89,491,600
  5. Step 5: Solve for x
    x = 89,491,600/7,786
  6. Step 6: Final answer
    x = 11,493.91

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.