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Finding the Third Proportional to 1,221.33 and 2,157.89

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Solution

The third proportional to 1,221.33 and 2,157.89 is: 3,812.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.33 : 2,157.89 = 2,157.89 : x
  2. Step 2: Convert to fraction form
    1,221.33/2,157.89 = 2,157.89/x
  3. Step 3: Cross multiply
    1,221.33x = 2,157.89 × 2,157.89
  4. Step 4: Simplify right side
    1,221.33x = 4,656,491.95
  5. Step 5: Solve for x
    x = 4,656,491.95/1,221.33
  6. Step 6: Final answer
    x = 3,812.65

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.