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Finding the Third Proportional to 20,776.50 and 42,778.13

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Solution

The third proportional to 20,776.50 and 42,778.13 is: 88,078.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,776.50 : 42,778.13 = 42,778.13 : x
  2. Step 2: Convert to fraction form
    20,776.50/42,778.13 = 42,778.13/x
  3. Step 3: Cross multiply
    20,776.50x = 42,778.13 × 42,778.13
  4. Step 4: Simplify right side
    20,776.50x = 1,829,967,978.52
  5. Step 5: Solve for x
    x = 1,829,967,978.52/20,776.50
  6. Step 6: Final answer
    x = 88,078.74

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.