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Finding the Third Proportional to 16,129 and 24,288

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Solution

The third proportional to 16,129 and 24,288 is: 36,574.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,129 : 24,288 = 24,288 : x
  2. Step 2: Convert to fraction form
    16,129/24,288 = 24,288/x
  3. Step 3: Cross multiply
    16,129x = 24,288 × 24,288
  4. Step 4: Simplify right side
    16,129x = 589,906,944
  5. Step 5: Solve for x
    x = 589,906,944/16,129
  6. Step 6: Final answer
    x = 36,574.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.