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Finding the Third Proportional to 33,400.13 and 49,006.13

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Solution

The third proportional to 33,400.13 and 49,006.13 is: 71,903.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,400.13 : 49,006.13 = 49,006.13 : x
  2. Step 2: Convert to fraction form
    33,400.13/49,006.13 = 49,006.13/x
  3. Step 3: Cross multiply
    33,400.13x = 49,006.13 × 49,006.13
  4. Step 4: Simplify right side
    33,400.13x = 2,401,600,287.52
  5. Step 5: Solve for x
    x = 2,401,600,287.52/33,400.13
  6. Step 6: Final answer
    x = 71,903.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.