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Finding the Third Proportional to 11,377.13 and 24,391.13

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Solution

The third proportional to 11,377.13 and 24,391.13 is: 52,291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,377.13 : 24,391.13 = 24,391.13 : x
  2. Step 2: Convert to fraction form
    11,377.13/24,391.13 = 24,391.13/x
  3. Step 3: Cross multiply
    11,377.13x = 24,391.13 × 24,391.13
  4. Step 4: Simplify right side
    11,377.13x = 594,926,978.77
  5. Step 5: Solve for x
    x = 594,926,978.77/11,377.13
  6. Step 6: Final answer
    x = 52,291.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.