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Finding the Third Proportional to 4,221.65 and 9,096.84

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Solution

The third proportional to 4,221.65 and 9,096.84 is: 19,601.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.65 : 9,096.84 = 9,096.84 : x
  2. Step 2: Convert to fraction form
    4,221.65/9,096.84 = 9,096.84/x
  3. Step 3: Cross multiply
    4,221.65x = 9,096.84 × 9,096.84
  4. Step 4: Simplify right side
    4,221.65x = 82,752,459.61
  5. Step 5: Solve for x
    x = 82,752,459.61/4,221.65
  6. Step 6: Final answer
    x = 19,601.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.