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Finding the Third Proportional to 5,970 and 6,418

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Solution

The third proportional to 5,970 and 6,418 is: 6,899.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970 : 6,418 = 6,418 : x
  2. Step 2: Convert to fraction form
    5,970/6,418 = 6,418/x
  3. Step 3: Cross multiply
    5,970x = 6,418 × 6,418
  4. Step 4: Simplify right side
    5,970x = 41,190,724
  5. Step 5: Solve for x
    x = 41,190,724/5,970
  6. Step 6: Final answer
    x = 6,899.62

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.