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Finding the Third Proportional to 9,337.78 and 14,016.80

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Solution

The third proportional to 9,337.78 and 14,016.80 is: 21,040.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,337.78 : 14,016.80 = 14,016.80 : x
  2. Step 2: Convert to fraction form
    9,337.78/14,016.80 = 14,016.80/x
  3. Step 3: Cross multiply
    9,337.78x = 14,016.80 × 14,016.80
  4. Step 4: Simplify right side
    9,337.78x = 196,470,594.64
  5. Step 5: Solve for x
    x = 196,470,594.64/9,337.78
  6. Step 6: Final answer
    x = 21,040.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.