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Finding the Third Proportional to 7,844.25 and 11,341.13

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Solution

The third proportional to 7,844.25 and 11,341.13 is: 16,396.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.25 : 11,341.13 = 11,341.13 : x
  2. Step 2: Convert to fraction form
    7,844.25/11,341.13 = 11,341.13/x
  3. Step 3: Cross multiply
    7,844.25x = 11,341.13 × 11,341.13
  4. Step 4: Simplify right side
    7,844.25x = 128,621,116.27
  5. Step 5: Solve for x
    x = 128,621,116.27/7,844.25
  6. Step 6: Final answer
    x = 16,396.87

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.