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Finding the Third Proportional to 15,782.25 and 33,510.75

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Solution

The third proportional to 15,782.25 and 33,510.75 is: 71,154.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.25 : 33,510.75 = 33,510.75 : x
  2. Step 2: Convert to fraction form
    15,782.25/33,510.75 = 33,510.75/x
  3. Step 3: Cross multiply
    15,782.25x = 33,510.75 × 33,510.75
  4. Step 4: Simplify right side
    15,782.25x = 1,122,970,365.56
  5. Step 5: Solve for x
    x = 1,122,970,365.56/15,782.25
  6. Step 6: Final answer
    x = 71,154.01

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.