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Finding the Third Proportional to 18,850 and 40,666

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Solution

The third proportional to 18,850 and 40,666 is: 87,730.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,850 : 40,666 = 40,666 : x
  2. Step 2: Convert to fraction form
    18,850/40,666 = 40,666/x
  3. Step 3: Cross multiply
    18,850x = 40,666 × 40,666
  4. Step 4: Simplify right side
    18,850x = 1,653,723,556
  5. Step 5: Solve for x
    x = 1,653,723,556/18,850
  6. Step 6: Final answer
    x = 87,730.69

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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.