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Finding the Third Proportional to 29,953.50 and 71,226

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Solution

The third proportional to 29,953.50 and 71,226 is: 169,367.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,953.50 : 71,226 = 71,226 : x
  2. Step 2: Convert to fraction form
    29,953.50/71,226 = 71,226/x
  3. Step 3: Cross multiply
    29,953.50x = 71,226 × 71,226
  4. Step 4: Simplify right side
    29,953.50x = 5,073,143,076
  5. Step 5: Solve for x
    x = 5,073,143,076/29,953.50
  6. Step 6: Final answer
    x = 169,367.29

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These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.