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Finding the Third Proportional to 15,744.38 and 33,574.50

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Solution

The third proportional to 15,744.38 and 33,574.50 is: 71,596.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,744.38 : 33,574.50 = 33,574.50 : x
  2. Step 2: Convert to fraction form
    15,744.38/33,574.50 = 33,574.50/x
  3. Step 3: Cross multiply
    15,744.38x = 33,574.50 × 33,574.50
  4. Step 4: Simplify right side
    15,744.38x = 1,127,247,050.25
  5. Step 5: Solve for x
    x = 1,127,247,050.25/15,744.38
  6. Step 6: Final answer
    x = 71,596.81

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.