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Finding the Third Proportional to 16,408 and 24,628

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Solution

The third proportional to 16,408 and 24,628 is: 36,966.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408 : 24,628 = 24,628 : x
  2. Step 2: Convert to fraction form
    16,408/24,628 = 24,628/x
  3. Step 3: Cross multiply
    16,408x = 24,628 × 24,628
  4. Step 4: Simplify right side
    16,408x = 606,538,384
  5. Step 5: Solve for x
    x = 606,538,384/16,408
  6. Step 6: Final answer
    x = 36,966.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.