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Finding the Third Proportional to 29,803.50 and 62,057.25

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Solution

The third proportional to 29,803.50 and 62,057.25 is: 129,216.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,803.50 : 62,057.25 = 62,057.25 : x
  2. Step 2: Convert to fraction form
    29,803.50/62,057.25 = 62,057.25/x
  3. Step 3: Cross multiply
    29,803.50x = 62,057.25 × 62,057.25
  4. Step 4: Simplify right side
    29,803.50x = 3,851,102,277.56
  5. Step 5: Solve for x
    x = 3,851,102,277.56/29,803.50
  6. Step 6: Final answer
    x = 129,216.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.