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Finding the Third Proportional to 14,118.89 and 30,424.78

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Solution

The third proportional to 14,118.89 and 30,424.78 is: 65,562.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,118.89 : 30,424.78 = 30,424.78 : x
  2. Step 2: Convert to fraction form
    14,118.89/30,424.78 = 30,424.78/x
  3. Step 3: Cross multiply
    14,118.89x = 30,424.78 × 30,424.78
  4. Step 4: Simplify right side
    14,118.89x = 925,667,314.11
  5. Step 5: Solve for x
    x = 925,667,314.11/14,118.89
  6. Step 6: Final answer
    x = 65,562.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.