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Finding the Third Proportional to 5,308.88 and 11,260.69

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Solution

The third proportional to 5,308.88 and 11,260.69 is: 23,885.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.88 : 11,260.69 = 11,260.69 : x
  2. Step 2: Convert to fraction form
    5,308.88/11,260.69 = 11,260.69/x
  3. Step 3: Cross multiply
    5,308.88x = 11,260.69 × 11,260.69
  4. Step 4: Simplify right side
    5,308.88x = 126,803,082.97
  5. Step 5: Solve for x
    x = 126,803,082.97/5,308.88
  6. Step 6: Final answer
    x = 23,885.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.