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Finding the Third Proportional to 32,001 and 50,088

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Solution

The third proportional to 32,001 and 50,088 is: 78,397.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,001 : 50,088 = 50,088 : x
  2. Step 2: Convert to fraction form
    32,001/50,088 = 50,088/x
  3. Step 3: Cross multiply
    32,001x = 50,088 × 50,088
  4. Step 4: Simplify right side
    32,001x = 2,508,807,744
  5. Step 5: Solve for x
    x = 2,508,807,744/32,001
  6. Step 6: Final answer
    x = 78,397.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.