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Finding the Third Proportional to 7,914.38 and 9,277.88

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Solution

The third proportional to 7,914.38 and 9,277.88 is: 10,876.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.38 : 9,277.88 = 9,277.88 : x
  2. Step 2: Convert to fraction form
    7,914.38/9,277.88 = 9,277.88/x
  3. Step 3: Cross multiply
    7,914.38x = 9,277.88 × 9,277.88
  4. Step 4: Simplify right side
    7,914.38x = 86,078,964.52
  5. Step 5: Solve for x
    x = 86,078,964.52/7,914.38
  6. Step 6: Final answer
    x = 10,876.28

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.