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Finding the Third Proportional to 25,780.50 and 55,770.75

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Solution

The third proportional to 25,780.50 and 55,770.75 is: 120,648.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,780.50 : 55,770.75 = 55,770.75 : x
  2. Step 2: Convert to fraction form
    25,780.50/55,770.75 = 55,770.75/x
  3. Step 3: Cross multiply
    25,780.50x = 55,770.75 × 55,770.75
  4. Step 4: Simplify right side
    25,780.50x = 3,110,376,555.56
  5. Step 5: Solve for x
    x = 3,110,376,555.56/25,780.50
  6. Step 6: Final answer
    x = 120,648.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.