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Finding the Third Proportional to 5,307.94 and 11,248.31

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Solution

The third proportional to 5,307.94 and 11,248.31 is: 23,836.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.94 : 11,248.31 = 11,248.31 : x
  2. Step 2: Convert to fraction form
    5,307.94/11,248.31 = 11,248.31/x
  3. Step 3: Cross multiply
    5,307.94x = 11,248.31 × 11,248.31
  4. Step 4: Simplify right side
    5,307.94x = 126,524,534.10
  5. Step 5: Solve for x
    x = 126,524,534.10/5,307.94
  6. Step 6: Final answer
    x = 23,836.85

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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.