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Finding the Third Proportional to 1,022.91 and 2,239.88

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Solution

The third proportional to 1,022.91 and 2,239.88 is: 4,904.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.91 : 2,239.88 = 2,239.88 : x
  2. Step 2: Convert to fraction form
    1,022.91/2,239.88 = 2,239.88/x
  3. Step 3: Cross multiply
    1,022.91x = 2,239.88 × 2,239.88
  4. Step 4: Simplify right side
    1,022.91x = 5,017,040.02
  5. Step 5: Solve for x
    x = 5,017,040.02/1,022.91
  6. Step 6: Final answer
    x = 4,904.69

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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.