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Finding the Third Proportional to 11,431.13 and 24,801.19

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Solution

The third proportional to 11,431.13 and 24,801.19 is: 53,809.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431.13 : 24,801.19 = 24,801.19 : x
  2. Step 2: Convert to fraction form
    11,431.13/24,801.19 = 24,801.19/x
  3. Step 3: Cross multiply
    11,431.13x = 24,801.19 × 24,801.19
  4. Step 4: Simplify right side
    11,431.13x = 615,098,901.41
  5. Step 5: Solve for x
    x = 615,098,901.41/11,431.13
  6. Step 6: Final answer
    x = 53,809.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.