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Finding the Third Proportional to 34,708.50 and 74,589.75

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Solution

The third proportional to 34,708.50 and 74,589.75 is: 160,295.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,708.50 : 74,589.75 = 74,589.75 : x
  2. Step 2: Convert to fraction form
    34,708.50/74,589.75 = 74,589.75/x
  3. Step 3: Cross multiply
    34,708.50x = 74,589.75 × 74,589.75
  4. Step 4: Simplify right side
    34,708.50x = 5,563,630,805.06
  5. Step 5: Solve for x
    x = 5,563,630,805.06/34,708.50
  6. Step 6: Final answer
    x = 160,295.92

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.