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Finding the Third Proportional to 32,038 and 68,811

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Solution

The third proportional to 32,038 and 68,811 is: 147,791.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,038 : 68,811 = 68,811 : x
  2. Step 2: Convert to fraction form
    32,038/68,811 = 68,811/x
  3. Step 3: Cross multiply
    32,038x = 68,811 × 68,811
  4. Step 4: Simplify right side
    32,038x = 4,734,953,721
  5. Step 5: Solve for x
    x = 4,734,953,721/32,038
  6. Step 6: Final answer
    x = 147,791.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.