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Finding the Third Proportional to 39,868 and 84,596

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Solution

The third proportional to 39,868 and 84,596 is: 179,504.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,868 : 84,596 = 84,596 : x
  2. Step 2: Convert to fraction form
    39,868/84,596 = 84,596/x
  3. Step 3: Cross multiply
    39,868x = 84,596 × 84,596
  4. Step 4: Simplify right side
    39,868x = 7,156,483,216
  5. Step 5: Solve for x
    x = 7,156,483,216/39,868
  6. Step 6: Final answer
    x = 179,504.45

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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.