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Finding the Third Proportional to 40,488.75 and 83,571

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Solution

The third proportional to 40,488.75 and 83,571 is: 172,495.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,488.75 : 83,571 = 83,571 : x
  2. Step 2: Convert to fraction form
    40,488.75/83,571 = 83,571/x
  3. Step 3: Cross multiply
    40,488.75x = 83,571 × 83,571
  4. Step 4: Simplify right side
    40,488.75x = 6,984,112,041
  5. Step 5: Solve for x
    x = 6,984,112,041/40,488.75
  6. Step 6: Final answer
    x = 172,495.13

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.