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Finding the Third Proportional to 33,176 and 51,784

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Solution

The third proportional to 33,176 and 51,784 is: 80,828.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,176 : 51,784 = 51,784 : x
  2. Step 2: Convert to fraction form
    33,176/51,784 = 51,784/x
  3. Step 3: Cross multiply
    33,176x = 51,784 × 51,784
  4. Step 4: Simplify right side
    33,176x = 2,681,582,656
  5. Step 5: Solve for x
    x = 2,681,582,656/33,176
  6. Step 6: Final answer
    x = 80,828.99

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.