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Finding the Third Proportional to 20,163 and 42,751.50

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Solution

The third proportional to 20,163 and 42,751.50 is: 90,645.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,163 : 42,751.50 = 42,751.50 : x
  2. Step 2: Convert to fraction form
    20,163/42,751.50 = 42,751.50/x
  3. Step 3: Cross multiply
    20,163x = 42,751.50 × 42,751.50
  4. Step 4: Simplify right side
    20,163x = 1,827,690,752.25
  5. Step 5: Solve for x
    x = 1,827,690,752.25/20,163
  6. Step 6: Final answer
    x = 90,645.77

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.