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Finding the Third Proportional to 872 and 2,352

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Solution

The third proportional to 872 and 2,352 is: 6,343.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    872 : 2,352 = 2,352 : x
  2. Step 2: Convert to fraction form
    872/2,352 = 2,352/x
  3. Step 3: Cross multiply
    872x = 2,352 × 2,352
  4. Step 4: Simplify right side
    872x = 5,531,904
  5. Step 5: Solve for x
    x = 5,531,904/872
  6. Step 6: Final answer
    x = 6,343.93

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.