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Finding the Third Proportional to 5,952 and 6,996

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Solution

The third proportional to 5,952 and 6,996 is: 8,223.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952 : 6,996 = 6,996 : x
  2. Step 2: Convert to fraction form
    5,952/6,996 = 6,996/x
  3. Step 3: Cross multiply
    5,952x = 6,996 × 6,996
  4. Step 4: Simplify right side
    5,952x = 48,944,016
  5. Step 5: Solve for x
    x = 48,944,016/5,952
  6. Step 6: Final answer
    x = 8,223.12

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.