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Finding the Third Proportional to 33,024 and 51,159

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Solution

The third proportional to 33,024 and 51,159 is: 79,252.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,024 : 51,159 = 51,159 : x
  2. Step 2: Convert to fraction form
    33,024/51,159 = 51,159/x
  3. Step 3: Cross multiply
    33,024x = 51,159 × 51,159
  4. Step 4: Simplify right side
    33,024x = 2,617,243,281
  5. Step 5: Solve for x
    x = 2,617,243,281/33,024
  6. Step 6: Final answer
    x = 79,252.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.