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Finding the Third Proportional to 5,366.88 and 11,767.46

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Solution

The third proportional to 5,366.88 and 11,767.46 is: 25,801.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,366.88 : 11,767.46 = 11,767.46 : x
  2. Step 2: Convert to fraction form
    5,366.88/11,767.46 = 11,767.46/x
  3. Step 3: Cross multiply
    5,366.88x = 11,767.46 × 11,767.46
  4. Step 4: Simplify right side
    5,366.88x = 138,473,228.85
  5. Step 5: Solve for x
    x = 138,473,228.85/5,366.88
  6. Step 6: Final answer
    x = 25,801.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.