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Finding the Third Proportional to 7,778 and 9,002

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Solution

The third proportional to 7,778 and 9,002 is: 10,418.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778 : 9,002 = 9,002 : x
  2. Step 2: Convert to fraction form
    7,778/9,002 = 9,002/x
  3. Step 3: Cross multiply
    7,778x = 9,002 × 9,002
  4. Step 4: Simplify right side
    7,778x = 81,036,004
  5. Step 5: Solve for x
    x = 81,036,004/7,778
  6. Step 6: Final answer
    x = 10,418.62

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.