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Finding the Third Proportional to 34,690.75 and 75,801.88

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Solution

The third proportional to 34,690.75 and 75,801.88 is: 165,632.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,690.75 : 75,801.88 = 75,801.88 : x
  2. Step 2: Convert to fraction form
    34,690.75/75,801.88 = 75,801.88/x
  3. Step 3: Cross multiply
    34,690.75x = 75,801.88 × 75,801.88
  4. Step 4: Simplify right side
    34,690.75x = 5,745,924,253.52
  5. Step 5: Solve for x
    x = 5,745,924,253.52/34,690.75
  6. Step 6: Final answer
    x = 165,632.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.