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Finding the Third Proportional to 3,437 and 6,118

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Solution

The third proportional to 3,437 and 6,118 is: 10,890.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437 : 6,118 = 6,118 : x
  2. Step 2: Convert to fraction form
    3,437/6,118 = 6,118/x
  3. Step 3: Cross multiply
    3,437x = 6,118 × 6,118
  4. Step 4: Simplify right side
    3,437x = 37,429,924
  5. Step 5: Solve for x
    x = 37,429,924/3,437
  6. Step 6: Final answer
    x = 10,890.29

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.