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Finding the Third Proportional to 11,083.38 and 24,627.13

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Solution

The third proportional to 11,083.38 and 24,627.13 is: 54,721.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,083.38 : 24,627.13 = 24,627.13 : x
  2. Step 2: Convert to fraction form
    11,083.38/24,627.13 = 24,627.13/x
  3. Step 3: Cross multiply
    11,083.38x = 24,627.13 × 24,627.13
  4. Step 4: Simplify right side
    11,083.38x = 606,495,285.77
  5. Step 5: Solve for x
    x = 606,495,285.77/11,083.38
  6. Step 6: Final answer
    x = 54,721.17

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.