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Finding the Third Proportional to 864.75 and 2,242.88

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Solution

The third proportional to 864.75 and 2,242.88 is: 5,817.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.75 : 2,242.88 = 2,242.88 : x
  2. Step 2: Convert to fraction form
    864.75/2,242.88 = 2,242.88/x
  3. Step 3: Cross multiply
    864.75x = 2,242.88 × 2,242.88
  4. Step 4: Simplify right side
    864.75x = 5,030,488.27
  5. Step 5: Solve for x
    x = 5,030,488.27/864.75
  6. Step 6: Final answer
    x = 5,817.27

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.