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Finding the Third Proportional to 12,241.13 and 19,131.19

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Solution

The third proportional to 12,241.13 and 19,131.19 is: 29,899.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,241.13 : 19,131.19 = 19,131.19 : x
  2. Step 2: Convert to fraction form
    12,241.13/19,131.19 = 19,131.19/x
  3. Step 3: Cross multiply
    12,241.13x = 19,131.19 × 19,131.19
  4. Step 4: Simplify right side
    12,241.13x = 366,002,335.16
  5. Step 5: Solve for x
    x = 366,002,335.16/12,241.13
  6. Step 6: Final answer
    x = 29,899.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.