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Finding the Third Proportional to 12,044 and 16,408

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Solution

The third proportional to 12,044 and 16,408 is: 22,353.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,044 : 16,408 = 16,408 : x
  2. Step 2: Convert to fraction form
    12,044/16,408 = 16,408/x
  3. Step 3: Cross multiply
    12,044x = 16,408 × 16,408
  4. Step 4: Simplify right side
    12,044x = 269,222,464
  5. Step 5: Solve for x
    x = 269,222,464/12,044
  6. Step 6: Final answer
    x = 22,353.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.