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Finding the Third Proportional to 17,641.13 and 27,023.81

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Solution

The third proportional to 17,641.13 and 27,023.81 is: 41,396.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,641.13 : 27,023.81 = 27,023.81 : x
  2. Step 2: Convert to fraction form
    17,641.13/27,023.81 = 27,023.81/x
  3. Step 3: Cross multiply
    17,641.13x = 27,023.81 × 27,023.81
  4. Step 4: Simplify right side
    17,641.13x = 730,286,442.04
  5. Step 5: Solve for x
    x = 730,286,442.04/17,641.13
  6. Step 6: Final answer
    x = 41,396.82

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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.