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Finding the Third Proportional to 34,617.75 and 75,310.50

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Solution

The third proportional to 34,617.75 and 75,310.50 is: 163,837.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,617.75 : 75,310.50 = 75,310.50 : x
  2. Step 2: Convert to fraction form
    34,617.75/75,310.50 = 75,310.50/x
  3. Step 3: Cross multiply
    34,617.75x = 75,310.50 × 75,310.50
  4. Step 4: Simplify right side
    34,617.75x = 5,671,671,410.25
  5. Step 5: Solve for x
    x = 5,671,671,410.25/34,617.75
  6. Step 6: Final answer
    x = 163,837.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.