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Finding the Third Proportional to 11,868.75 and 17,620.13

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Solution

The third proportional to 11,868.75 and 17,620.13 is: 26,158.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,868.75 : 17,620.13 = 17,620.13 : x
  2. Step 2: Convert to fraction form
    11,868.75/17,620.13 = 17,620.13/x
  3. Step 3: Cross multiply
    11,868.75x = 17,620.13 × 17,620.13
  4. Step 4: Simplify right side
    11,868.75x = 310,468,805.02
  5. Step 5: Solve for x
    x = 310,468,805.02/11,868.75
  6. Step 6: Final answer
    x = 26,158.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.