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Finding the Third Proportional to 18,614 and 40,511

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Solution

The third proportional to 18,614 and 40,511 is: 88,167.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,614 : 40,511 = 40,511 : x
  2. Step 2: Convert to fraction form
    18,614/40,511 = 40,511/x
  3. Step 3: Cross multiply
    18,614x = 40,511 × 40,511
  4. Step 4: Simplify right side
    18,614x = 1,641,141,121
  5. Step 5: Solve for x
    x = 1,641,141,121/18,614
  6. Step 6: Final answer
    x = 88,167.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.