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Finding the Third Proportional to 1,024.88 and 2,221.88

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Solution

The third proportional to 1,024.88 and 2,221.88 is: 4,816.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.88 : 2,221.88 = 2,221.88 : x
  2. Step 2: Convert to fraction form
    1,024.88/2,221.88 = 2,221.88/x
  3. Step 3: Cross multiply
    1,024.88x = 2,221.88 × 2,221.88
  4. Step 4: Simplify right side
    1,024.88x = 4,936,728.52
  5. Step 5: Solve for x
    x = 4,936,728.52/1,024.88
  6. Step 6: Final answer
    x = 4,816.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.