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Finding the Third Proportional to 3,951.75 and 9,148.69

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Solution

The third proportional to 3,951.75 and 9,148.69 is: 21,180.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.75 : 9,148.69 = 9,148.69 : x
  2. Step 2: Convert to fraction form
    3,951.75/9,148.69 = 9,148.69/x
  3. Step 3: Cross multiply
    3,951.75x = 9,148.69 × 9,148.69
  4. Step 4: Simplify right side
    3,951.75x = 83,698,482.97
  5. Step 5: Solve for x
    x = 83,698,482.97/3,951.75
  6. Step 6: Final answer
    x = 21,180.11

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.