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Finding the Third Proportional to 18,870 and 40,814

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Solution

The third proportional to 18,870 and 40,814 is: 88,276.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,870 : 40,814 = 40,814 : x
  2. Step 2: Convert to fraction form
    18,870/40,814 = 40,814/x
  3. Step 3: Cross multiply
    18,870x = 40,814 × 40,814
  4. Step 4: Simplify right side
    18,870x = 1,665,782,596
  5. Step 5: Solve for x
    x = 1,665,782,596/18,870
  6. Step 6: Final answer
    x = 88,276.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.