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Finding the Third Proportional to 16,196 and 24,344

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Solution

The third proportional to 16,196 and 24,344 is: 36,591.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,196 : 24,344 = 24,344 : x
  2. Step 2: Convert to fraction form
    16,196/24,344 = 24,344/x
  3. Step 3: Cross multiply
    16,196x = 24,344 × 24,344
  4. Step 4: Simplify right side
    16,196x = 592,630,336
  5. Step 5: Solve for x
    x = 592,630,336/16,196
  6. Step 6: Final answer
    x = 36,591.15

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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.