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Finding the Third Proportional to 40,872.77 and 87,657.62

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Solution

The third proportional to 40,872.77 and 87,657.62 is: 187,994.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,872.77 : 87,657.62 = 87,657.62 : x
  2. Step 2: Convert to fraction form
    40,872.77/87,657.62 = 87,657.62/x
  3. Step 3: Cross multiply
    40,872.77x = 87,657.62 × 87,657.62
  4. Step 4: Simplify right side
    40,872.77x = 7,683,858,792.62
  5. Step 5: Solve for x
    x = 7,683,858,792.62/40,872.77
  6. Step 6: Final answer
    x = 187,994.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.