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Finding the Third Proportional to 43,510 and 69,233

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Solution

The third proportional to 43,510 and 69,233 is: 110,163.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,510 : 69,233 = 69,233 : x
  2. Step 2: Convert to fraction form
    43,510/69,233 = 69,233/x
  3. Step 3: Cross multiply
    43,510x = 69,233 × 69,233
  4. Step 4: Simplify right side
    43,510x = 4,793,208,289
  5. Step 5: Solve for x
    x = 4,793,208,289/43,510
  6. Step 6: Final answer
    x = 110,163.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.