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Finding the Third Proportional to 5,702 and 6,518

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Solution

The third proportional to 5,702 and 6,518 is: 7,450.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702 : 6,518 = 6,518 : x
  2. Step 2: Convert to fraction form
    5,702/6,518 = 6,518/x
  3. Step 3: Cross multiply
    5,702x = 6,518 × 6,518
  4. Step 4: Simplify right side
    5,702x = 42,484,324
  5. Step 5: Solve for x
    x = 42,484,324/5,702
  6. Step 6: Final answer
    x = 7,450.78

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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.