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Finding the Third Proportional to 38,826 and 84,000.38

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Solution

The third proportional to 38,826 and 84,000.38 is: 181,735.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,826 : 84,000.38 = 84,000.38 : x
  2. Step 2: Convert to fraction form
    38,826/84,000.38 = 84,000.38/x
  3. Step 3: Cross multiply
    38,826x = 84,000.38 × 84,000.38
  4. Step 4: Simplify right side
    38,826x = 7,056,063,000.14
  5. Step 5: Solve for x
    x = 7,056,063,000.14/38,826
  6. Step 6: Final answer
    x = 181,735.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.