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Finding the Third Proportional to 6,363.56 and 14,023.13

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Solution

The third proportional to 6,363.56 and 14,023.13 is: 30,902.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,363.56 : 14,023.13 = 14,023.13 : x
  2. Step 2: Convert to fraction form
    6,363.56/14,023.13 = 14,023.13/x
  3. Step 3: Cross multiply
    6,363.56x = 14,023.13 × 14,023.13
  4. Step 4: Simplify right side
    6,363.56x = 196,648,034.77
  5. Step 5: Solve for x
    x = 196,648,034.77/6,363.56
  6. Step 6: Final answer
    x = 30,902.19

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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.