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Finding the Third Proportional to 40,877 and 87,991

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Solution

The third proportional to 40,877 and 87,991 is: 189,407.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,877 : 87,991 = 87,991 : x
  2. Step 2: Convert to fraction form
    40,877/87,991 = 87,991/x
  3. Step 3: Cross multiply
    40,877x = 87,991 × 87,991
  4. Step 4: Simplify right side
    40,877x = 7,742,416,081
  5. Step 5: Solve for x
    x = 7,742,416,081/40,877
  6. Step 6: Final answer
    x = 189,407.64

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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.