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Finding the Third Proportional to 16,276 and 24,414

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Solution

The third proportional to 16,276 and 24,414 is: 36,621

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,276 : 24,414 = 24,414 : x
  2. Step 2: Convert to fraction form
    16,276/24,414 = 24,414/x
  3. Step 3: Cross multiply
    16,276x = 24,414 × 24,414
  4. Step 4: Simplify right side
    16,276x = 596,043,396
  5. Step 5: Solve for x
    x = 596,043,396/16,276
  6. Step 6: Final answer
    x = 36,621

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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.