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Finding the Third Proportional to 39,166.88 and 82,846.13

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Solution

The third proportional to 39,166.88 and 82,846.13 is: 175,236.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,166.88 : 82,846.13 = 82,846.13 : x
  2. Step 2: Convert to fraction form
    39,166.88/82,846.13 = 82,846.13/x
  3. Step 3: Cross multiply
    39,166.88x = 82,846.13 × 82,846.13
  4. Step 4: Simplify right side
    39,166.88x = 6,863,480,427.52
  5. Step 5: Solve for x
    x = 6,863,480,427.52/39,166.88
  6. Step 6: Final answer
    x = 175,236.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.