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Finding the Third Proportional to 8,424 and 18,408

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Solution

The third proportional to 8,424 and 18,408 is: 40,224.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424 : 18,408 = 18,408 : x
  2. Step 2: Convert to fraction form
    8,424/18,408 = 18,408/x
  3. Step 3: Cross multiply
    8,424x = 18,408 × 18,408
  4. Step 4: Simplify right side
    8,424x = 338,854,464
  5. Step 5: Solve for x
    x = 338,854,464/8,424
  6. Step 6: Final answer
    x = 40,224.89

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1.5x scale

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.