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Finding the Third Proportional to 6,643.13 and 10,177.88

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Solution

The third proportional to 6,643.13 and 10,177.88 is: 15,593.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.13 : 10,177.88 = 10,177.88 : x
  2. Step 2: Convert to fraction form
    6,643.13/10,177.88 = 10,177.88/x
  3. Step 3: Cross multiply
    6,643.13x = 10,177.88 × 10,177.88
  4. Step 4: Simplify right side
    6,643.13x = 103,589,139.52
  5. Step 5: Solve for x
    x = 103,589,139.52/6,643.13
  6. Step 6: Final answer
    x = 15,593.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.