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Finding the Third Proportional to 18,226 and 23,932

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Solution

The third proportional to 18,226 and 23,932 is: 31,424.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,226 : 23,932 = 23,932 : x
  2. Step 2: Convert to fraction form
    18,226/23,932 = 23,932/x
  3. Step 3: Cross multiply
    18,226x = 23,932 × 23,932
  4. Step 4: Simplify right side
    18,226x = 572,740,624
  5. Step 5: Solve for x
    x = 572,740,624/18,226
  6. Step 6: Final answer
    x = 31,424.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.