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Finding the Third Proportional to 19,799 and 41,518

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Solution

The third proportional to 19,799 and 41,518 is: 87,062.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,799 : 41,518 = 41,518 : x
  2. Step 2: Convert to fraction form
    19,799/41,518 = 41,518/x
  3. Step 3: Cross multiply
    19,799x = 41,518 × 41,518
  4. Step 4: Simplify right side
    19,799x = 1,723,744,324
  5. Step 5: Solve for x
    x = 1,723,744,324/19,799
  6. Step 6: Final answer
    x = 87,062.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.