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Finding the Third Proportional to 20,656.69 and 42,535.97

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Solution

The third proportional to 20,656.69 and 42,535.97 is: 87,589.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,656.69 : 42,535.97 = 42,535.97 : x
  2. Step 2: Convert to fraction form
    20,656.69/42,535.97 = 42,535.97/x
  3. Step 3: Cross multiply
    20,656.69x = 42,535.97 × 42,535.97
  4. Step 4: Simplify right side
    20,656.69x = 1,809,308,637.50
  5. Step 5: Solve for x
    x = 1,809,308,637.50/20,656.69
  6. Step 6: Final answer
    x = 87,589.49

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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.