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Finding the Third Proportional to 5,696 and 6,520

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Solution

The third proportional to 5,696 and 6,520 is: 7,463.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696 : 6,520 = 6,520 : x
  2. Step 2: Convert to fraction form
    5,696/6,520 = 6,520/x
  3. Step 3: Cross multiply
    5,696x = 6,520 × 6,520
  4. Step 4: Simplify right side
    5,696x = 42,510,400
  5. Step 5: Solve for x
    x = 42,510,400/5,696
  6. Step 6: Final answer
    x = 7,463.20

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.