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Finding the Third Proportional to 19,765 and 42,811

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Solution

The third proportional to 19,765 and 42,811 is: 92,728.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,765 : 42,811 = 42,811 : x
  2. Step 2: Convert to fraction form
    19,765/42,811 = 42,811/x
  3. Step 3: Cross multiply
    19,765x = 42,811 × 42,811
  4. Step 4: Simplify right side
    19,765x = 1,832,781,721
  5. Step 5: Solve for x
    x = 1,832,781,721/19,765
  6. Step 6: Final answer
    x = 92,728.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.