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Finding the Third Proportional to 5,156 and 5,696

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Solution

The third proportional to 5,156 and 5,696 is: 6,292.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156 : 5,696 = 5,696 : x
  2. Step 2: Convert to fraction form
    5,156/5,696 = 5,696/x
  3. Step 3: Cross multiply
    5,156x = 5,696 × 5,696
  4. Step 4: Simplify right side
    5,156x = 32,444,416
  5. Step 5: Solve for x
    x = 32,444,416/5,156
  6. Step 6: Final answer
    x = 6,292.56

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.