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Finding the Third Proportional to 3,688 and 5,948

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Solution

The third proportional to 3,688 and 5,948 is: 9,592.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688 : 5,948 = 5,948 : x
  2. Step 2: Convert to fraction form
    3,688/5,948 = 5,948/x
  3. Step 3: Cross multiply
    3,688x = 5,948 × 5,948
  4. Step 4: Simplify right side
    3,688x = 35,378,704
  5. Step 5: Solve for x
    x = 35,378,704/3,688
  6. Step 6: Final answer
    x = 9,592.92

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.