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Finding the Third Proportional to 39,350.81 and 83,953.97

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Solution

The third proportional to 39,350.81 and 83,953.97 is: 179,113.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,350.81 : 83,953.97 = 83,953.97 : x
  2. Step 2: Convert to fraction form
    39,350.81/83,953.97 = 83,953.97/x
  3. Step 3: Cross multiply
    39,350.81x = 83,953.97 × 83,953.97
  4. Step 4: Simplify right side
    39,350.81x = 7,048,268,868.88
  5. Step 5: Solve for x
    x = 7,048,268,868.88/39,350.81
  6. Step 6: Final answer
    x = 179,113.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.