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Finding the Third Proportional to 18,024 and 39,424

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Solution

The third proportional to 18,024 and 39,424 is: 86,232.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,024 : 39,424 = 39,424 : x
  2. Step 2: Convert to fraction form
    18,024/39,424 = 39,424/x
  3. Step 3: Cross multiply
    18,024x = 39,424 × 39,424
  4. Step 4: Simplify right side
    18,024x = 1,554,251,776
  5. Step 5: Solve for x
    x = 1,554,251,776/18,024
  6. Step 6: Final answer
    x = 86,232.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.