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Finding the Third Proportional to 20,806 and 36,988

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Solution

The third proportional to 20,806 and 36,988 is: 65,755.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,806 : 36,988 = 36,988 : x
  2. Step 2: Convert to fraction form
    20,806/36,988 = 36,988/x
  3. Step 3: Cross multiply
    20,806x = 36,988 × 36,988
  4. Step 4: Simplify right side
    20,806x = 1,368,112,144
  5. Step 5: Solve for x
    x = 1,368,112,144/20,806
  6. Step 6: Final answer
    x = 65,755.65

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.