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Finding the Third Proportional to 40,889.81 and 83,283.19

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Solution

The third proportional to 40,889.81 and 83,283.19 is: 169,628.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,889.81 : 83,283.19 = 83,283.19 : x
  2. Step 2: Convert to fraction form
    40,889.81/83,283.19 = 83,283.19/x
  3. Step 3: Cross multiply
    40,889.81x = 83,283.19 × 83,283.19
  4. Step 4: Simplify right side
    40,889.81x = 6,936,089,320.16
  5. Step 5: Solve for x
    x = 6,936,089,320.16/40,889.81
  6. Step 6: Final answer
    x = 169,628.79

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.