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Finding the Third Proportional to 19,657.69 and 42,435.56

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Solution

The third proportional to 19,657.69 and 42,435.56 is: 91,606.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,657.69 : 42,435.56 = 42,435.56 : x
  2. Step 2: Convert to fraction form
    19,657.69/42,435.56 = 42,435.56/x
  3. Step 3: Cross multiply
    19,657.69x = 42,435.56 × 42,435.56
  4. Step 4: Simplify right side
    19,657.69x = 1,800,776,964.69
  5. Step 5: Solve for x
    x = 1,800,776,964.69/19,657.69
  6. Step 6: Final answer
    x = 91,606.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.