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Finding the Third Proportional to 24,410 and 33,159

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Solution

The third proportional to 24,410 and 33,159 is: 45,043.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,410 : 33,159 = 33,159 : x
  2. Step 2: Convert to fraction form
    24,410/33,159 = 33,159/x
  3. Step 3: Cross multiply
    24,410x = 33,159 × 33,159
  4. Step 4: Simplify right side
    24,410x = 1,099,519,281
  5. Step 5: Solve for x
    x = 1,099,519,281/24,410
  6. Step 6: Final answer
    x = 45,043.81

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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.