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Finding the Third Proportional to 33,922.50 and 51,763.50

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Solution

The third proportional to 33,922.50 and 51,763.50 is: 78,987.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,922.50 : 51,763.50 = 51,763.50 : x
  2. Step 2: Convert to fraction form
    33,922.50/51,763.50 = 51,763.50/x
  3. Step 3: Cross multiply
    33,922.50x = 51,763.50 × 51,763.50
  4. Step 4: Simplify right side
    33,922.50x = 2,679,459,932.25
  5. Step 5: Solve for x
    x = 2,679,459,932.25/33,922.50
  6. Step 6: Final answer
    x = 78,987.69

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.