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Finding the Third Proportional to 41,868 and 62,833.50

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Solution

The third proportional to 41,868 and 62,833.50 is: 94,297.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,868 : 62,833.50 = 62,833.50 : x
  2. Step 2: Convert to fraction form
    41,868/62,833.50 = 62,833.50/x
  3. Step 3: Cross multiply
    41,868x = 62,833.50 × 62,833.50
  4. Step 4: Simplify right side
    41,868x = 3,948,048,722.25
  5. Step 5: Solve for x
    x = 3,948,048,722.25/41,868
  6. Step 6: Final answer
    x = 94,297.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.