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Finding the Third Proportional to 6,446 and 7,118

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Solution

The third proportional to 6,446 and 7,118 is: 7,860.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446 : 7,118 = 7,118 : x
  2. Step 2: Convert to fraction form
    6,446/7,118 = 7,118/x
  3. Step 3: Cross multiply
    6,446x = 7,118 × 7,118
  4. Step 4: Simplify right side
    6,446x = 50,665,924
  5. Step 5: Solve for x
    x = 50,665,924/6,446
  6. Step 6: Final answer
    x = 7,860.06

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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.