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Finding the Third Proportional to 34,607.25 and 75,217.36

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Solution

The third proportional to 34,607.25 and 75,217.36 is: 163,481.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,607.25 : 75,217.36 = 75,217.36 : x
  2. Step 2: Convert to fraction form
    34,607.25/75,217.36 = 75,217.36/x
  3. Step 3: Cross multiply
    34,607.25x = 75,217.36 × 75,217.36
  4. Step 4: Simplify right side
    34,607.25x = 5,657,651,151.35
  5. Step 5: Solve for x
    x = 5,657,651,151.35/34,607.25
  6. Step 6: Final answer
    x = 163,481.67

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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.