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Finding the Third Proportional to 5,680 and 7,672

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Solution

The third proportional to 5,680 and 7,672 is: 10,362.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680 : 7,672 = 7,672 : x
  2. Step 2: Convert to fraction form
    5,680/7,672 = 7,672/x
  3. Step 3: Cross multiply
    5,680x = 7,672 × 7,672
  4. Step 4: Simplify right side
    5,680x = 58,859,584
  5. Step 5: Solve for x
    x = 58,859,584/5,680
  6. Step 6: Final answer
    x = 10,362.60

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.