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Finding the Third Proportional to 22,997.67 and 39,827.32

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Solution

The third proportional to 22,997.67 and 39,827.32 is: 68,972.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,997.67 : 39,827.32 = 39,827.32 : x
  2. Step 2: Convert to fraction form
    22,997.67/39,827.32 = 39,827.32/x
  3. Step 3: Cross multiply
    22,997.67x = 39,827.32 × 39,827.32
  4. Step 4: Simplify right side
    22,997.67x = 1,586,215,443.27
  5. Step 5: Solve for x
    x = 1,586,215,443.27/22,997.67
  6. Step 6: Final answer
    x = 68,972.87

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.