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Finding the Third Proportional to 36,988 and 80,887

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Solution

The third proportional to 36,988 and 80,887 is: 176,887.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,988 : 80,887 = 80,887 : x
  2. Step 2: Convert to fraction form
    36,988/80,887 = 80,887/x
  3. Step 3: Cross multiply
    36,988x = 80,887 × 80,887
  4. Step 4: Simplify right side
    36,988x = 6,542,706,769
  5. Step 5: Solve for x
    x = 6,542,706,769/36,988
  6. Step 6: Final answer
    x = 176,887.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.