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Finding the Third Proportional to 6,884 and 7,352

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Solution

The third proportional to 6,884 and 7,352 is: 7,851.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884 : 7,352 = 7,352 : x
  2. Step 2: Convert to fraction form
    6,884/7,352 = 7,352/x
  3. Step 3: Cross multiply
    6,884x = 7,352 × 7,352
  4. Step 4: Simplify right side
    6,884x = 54,051,904
  5. Step 5: Solve for x
    x = 54,051,904/6,884
  6. Step 6: Final answer
    x = 7,851.82

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.