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Finding the Third Proportional to 15,643.38 and 34,040.75

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Solution

The third proportional to 15,643.38 and 34,040.75 is: 74,074.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,643.38 : 34,040.75 = 34,040.75 : x
  2. Step 2: Convert to fraction form
    15,643.38/34,040.75 = 34,040.75/x
  3. Step 3: Cross multiply
    15,643.38x = 34,040.75 × 34,040.75
  4. Step 4: Simplify right side
    15,643.38x = 1,158,772,660.56
  5. Step 5: Solve for x
    x = 1,158,772,660.56/15,643.38
  6. Step 6: Final answer
    x = 74,074.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.