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Finding the Third Proportional to 5,173.88 and 11,350.13

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Solution

The third proportional to 5,173.88 and 11,350.13 is: 24,899.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.88 : 11,350.13 = 11,350.13 : x
  2. Step 2: Convert to fraction form
    5,173.88/11,350.13 = 11,350.13/x
  3. Step 3: Cross multiply
    5,173.88x = 11,350.13 × 11,350.13
  4. Step 4: Simplify right side
    5,173.88x = 128,825,337.52
  5. Step 5: Solve for x
    x = 128,825,337.52/5,173.88
  6. Step 6: Final answer
    x = 24,899.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.