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Finding the Third Proportional to 19,887 and 42,819

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Solution

The third proportional to 19,887 and 42,819 is: 92,194.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,887 : 42,819 = 42,819 : x
  2. Step 2: Convert to fraction form
    19,887/42,819 = 42,819/x
  3. Step 3: Cross multiply
    19,887x = 42,819 × 42,819
  4. Step 4: Simplify right side
    19,887x = 1,833,466,761
  5. Step 5: Solve for x
    x = 1,833,466,761/19,887
  6. Step 6: Final answer
    x = 92,194.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.