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Finding the Third Proportional to 2,874.47 and 6,319.22

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Solution

The third proportional to 2,874.47 and 6,319.22 is: 13,892.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.47 : 6,319.22 = 6,319.22 : x
  2. Step 2: Convert to fraction form
    2,874.47/6,319.22 = 6,319.22/x
  3. Step 3: Cross multiply
    2,874.47x = 6,319.22 × 6,319.22
  4. Step 4: Simplify right side
    2,874.47x = 39,932,525.61
  5. Step 5: Solve for x
    x = 39,932,525.61/2,874.47
  6. Step 6: Final answer
    x = 13,892.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.