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Finding the Third Proportional to 34,231.50 and 74,911.50

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Solution

The third proportional to 34,231.50 and 74,911.50 is: 163,934.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,231.50 : 74,911.50 = 74,911.50 : x
  2. Step 2: Convert to fraction form
    34,231.50/74,911.50 = 74,911.50/x
  3. Step 3: Cross multiply
    34,231.50x = 74,911.50 × 74,911.50
  4. Step 4: Simplify right side
    34,231.50x = 5,611,732,832.25
  5. Step 5: Solve for x
    x = 5,611,732,832.25/34,231.50
  6. Step 6: Final answer
    x = 163,934.76

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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.