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Finding the Third Proportional to 40,450 and 59,226

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Solution

The third proportional to 40,450 and 59,226 is: 86,717.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,450 : 59,226 = 59,226 : x
  2. Step 2: Convert to fraction form
    40,450/59,226 = 59,226/x
  3. Step 3: Cross multiply
    40,450x = 59,226 × 59,226
  4. Step 4: Simplify right side
    40,450x = 3,507,719,076
  5. Step 5: Solve for x
    x = 3,507,719,076/40,450
  6. Step 6: Final answer
    x = 86,717.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.