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Finding the Third Proportional to 34,616.75 and 75,065.50

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Solution

The third proportional to 34,616.75 and 75,065.50 is: 162,777.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,616.75 : 75,065.50 = 75,065.50 : x
  2. Step 2: Convert to fraction form
    34,616.75/75,065.50 = 75,065.50/x
  3. Step 3: Cross multiply
    34,616.75x = 75,065.50 × 75,065.50
  4. Step 4: Simplify right side
    34,616.75x = 5,634,829,290.25
  5. Step 5: Solve for x
    x = 5,634,829,290.25/34,616.75
  6. Step 6: Final answer
    x = 162,777.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.