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Finding the Third Proportional to 864 and 1,124

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Solution

The third proportional to 864 and 1,124 is: 1,462.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    864 : 1,124 = 1,124 : x
  2. Step 2: Convert to fraction form
    864/1,124 = 1,124/x
  3. Step 3: Cross multiply
    864x = 1,124 × 1,124
  4. Step 4: Simplify right side
    864x = 1,263,376
  5. Step 5: Solve for x
    x = 1,263,376/864
  6. Step 6: Final answer
    x = 1,462.24

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.