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Finding the Third Proportional to 34,041.25 and 74,800.75

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Solution

The third proportional to 34,041.25 and 74,800.75 is: 164,363.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,041.25 : 74,800.75 = 74,800.75 : x
  2. Step 2: Convert to fraction form
    34,041.25/74,800.75 = 74,800.75/x
  3. Step 3: Cross multiply
    34,041.25x = 74,800.75 × 74,800.75
  4. Step 4: Simplify right side
    34,041.25x = 5,595,152,200.56
  5. Step 5: Solve for x
    x = 5,595,152,200.56/34,041.25
  6. Step 6: Final answer
    x = 164,363.89

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.