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Finding the Third Proportional to 38,013.75 and 80,946

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Solution

The third proportional to 38,013.75 and 80,946 is: 172,365.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,013.75 : 80,946 = 80,946 : x
  2. Step 2: Convert to fraction form
    38,013.75/80,946 = 80,946/x
  3. Step 3: Cross multiply
    38,013.75x = 80,946 × 80,946
  4. Step 4: Simplify right side
    38,013.75x = 6,552,254,916
  5. Step 5: Solve for x
    x = 6,552,254,916/38,013.75
  6. Step 6: Final answer
    x = 172,365.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.