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Finding the Third Proportional to 34,042.50 and 51,783.75

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Solution

The third proportional to 34,042.50 and 51,783.75 is: 78,770.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,042.50 : 51,783.75 = 51,783.75 : x
  2. Step 2: Convert to fraction form
    34,042.50/51,783.75 = 51,783.75/x
  3. Step 3: Cross multiply
    34,042.50x = 51,783.75 × 51,783.75
  4. Step 4: Simplify right side
    34,042.50x = 2,681,556,764.06
  5. Step 5: Solve for x
    x = 2,681,556,764.06/34,042.50
  6. Step 6: Final answer
    x = 78,770.85

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.