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Finding the Third Proportional to 12,934.13 and 24,022.13

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Solution

The third proportional to 12,934.13 and 24,022.13 is: 44,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,934.13 : 24,022.13 = 24,022.13 : x
  2. Step 2: Convert to fraction form
    12,934.13/24,022.13 = 24,022.13/x
  3. Step 3: Cross multiply
    12,934.13x = 24,022.13 × 24,022.13
  4. Step 4: Simplify right side
    12,934.13x = 577,062,489.52
  5. Step 5: Solve for x
    x = 577,062,489.52/12,934.13
  6. Step 6: Final answer
    x = 44,615.50

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.