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Finding the Third Proportional to 5,680 and 6,288

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Solution

The third proportional to 5,680 and 6,288 is: 6,961.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680 : 6,288 = 6,288 : x
  2. Step 2: Convert to fraction form
    5,680/6,288 = 6,288/x
  3. Step 3: Cross multiply
    5,680x = 6,288 × 6,288
  4. Step 4: Simplify right side
    5,680x = 39,538,944
  5. Step 5: Solve for x
    x = 39,538,944/5,680
  6. Step 6: Final answer
    x = 6,961.08

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.