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Finding the Third Proportional to 20,833.50 and 42,441

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Solution

The third proportional to 20,833.50 and 42,441 is: 86,458.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,833.50 : 42,441 = 42,441 : x
  2. Step 2: Convert to fraction form
    20,833.50/42,441 = 42,441/x
  3. Step 3: Cross multiply
    20,833.50x = 42,441 × 42,441
  4. Step 4: Simplify right side
    20,833.50x = 1,801,238,481
  5. Step 5: Solve for x
    x = 1,801,238,481/20,833.50
  6. Step 6: Final answer
    x = 86,458.76

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.