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Finding the Third Proportional to 20,305.69 and 42,919.88

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Solution

The third proportional to 20,305.69 and 42,919.88 is: 90,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,305.69 : 42,919.88 = 42,919.88 : x
  2. Step 2: Convert to fraction form
    20,305.69/42,919.88 = 42,919.88/x
  3. Step 3: Cross multiply
    20,305.69x = 42,919.88 × 42,919.88
  4. Step 4: Simplify right side
    20,305.69x = 1,842,115,670.02
  5. Step 5: Solve for x
    x = 1,842,115,670.02/20,305.69
  6. Step 6: Final answer
    x = 90,719.20

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.