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Finding the Third Proportional to 33,232.50 and 51,080.91

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Solution

The third proportional to 33,232.50 and 51,080.91 is: 78,515.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,232.50 : 51,080.91 = 51,080.91 : x
  2. Step 2: Convert to fraction form
    33,232.50/51,080.91 = 51,080.91/x
  3. Step 3: Cross multiply
    33,232.50x = 51,080.91 × 51,080.91
  4. Step 4: Simplify right side
    33,232.50x = 2,609,258,983.32
  5. Step 5: Solve for x
    x = 2,609,258,983.32/33,232.50
  6. Step 6: Final answer
    x = 78,515.28

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.