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Finding the Third Proportional to 34,807.50 and 76,419

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Solution

The third proportional to 34,807.50 and 76,419 is: 167,776.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,807.50 : 76,419 = 76,419 : x
  2. Step 2: Convert to fraction form
    34,807.50/76,419 = 76,419/x
  3. Step 3: Cross multiply
    34,807.50x = 76,419 × 76,419
  4. Step 4: Simplify right side
    34,807.50x = 5,839,863,561
  5. Step 5: Solve for x
    x = 5,839,863,561/34,807.50
  6. Step 6: Final answer
    x = 167,776.01

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.