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Finding the Third Proportional to 14,098.50 and 33,400.13

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Solution

The third proportional to 14,098.50 and 33,400.13 is: 79,126.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,098.50 : 33,400.13 = 33,400.13 : x
  2. Step 2: Convert to fraction form
    14,098.50/33,400.13 = 33,400.13/x
  3. Step 3: Cross multiply
    14,098.50x = 33,400.13 × 33,400.13
  4. Step 4: Simplify right side
    14,098.50x = 1,115,568,350.02
  5. Step 5: Solve for x
    x = 1,115,568,350.02/14,098.50
  6. Step 6: Final answer
    x = 79,126.74

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.