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Finding the Third Proportional to 40,015.69 and 83,706.19

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Solution

The third proportional to 40,015.69 and 83,706.19 is: 175,099.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,015.69 : 83,706.19 = 83,706.19 : x
  2. Step 2: Convert to fraction form
    40,015.69/83,706.19 = 83,706.19/x
  3. Step 3: Cross multiply
    40,015.69x = 83,706.19 × 83,706.19
  4. Step 4: Simplify right side
    40,015.69x = 7,006,725,825.79
  5. Step 5: Solve for x
    x = 7,006,725,825.79/40,015.69
  6. Step 6: Final answer
    x = 175,099.47

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.