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Finding the Third Proportional to 18,746 and 40,552

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Solution

The third proportional to 18,746 and 40,552 is: 87,723.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,746 : 40,552 = 40,552 : x
  2. Step 2: Convert to fraction form
    18,746/40,552 = 40,552/x
  3. Step 3: Cross multiply
    18,746x = 40,552 × 40,552
  4. Step 4: Simplify right side
    18,746x = 1,644,464,704
  5. Step 5: Solve for x
    x = 1,644,464,704/18,746
  6. Step 6: Final answer
    x = 87,723.50

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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.