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Finding the Third Proportional to 5,206.88 and 11,338.13

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Solution

The third proportional to 5,206.88 and 11,338.13 is: 24,689.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.88 : 11,338.13 = 11,338.13 : x
  2. Step 2: Convert to fraction form
    5,206.88/11,338.13 = 11,338.13/x
  3. Step 3: Cross multiply
    5,206.88x = 11,338.13 × 11,338.13
  4. Step 4: Simplify right side
    5,206.88x = 128,553,078.52
  5. Step 5: Solve for x
    x = 128,553,078.52/5,206.88
  6. Step 6: Final answer
    x = 24,689.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.