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Finding the Third Proportional to 33,210 and 50,787

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Solution

The third proportional to 33,210 and 50,787 is: 77,666.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,210 : 50,787 = 50,787 : x
  2. Step 2: Convert to fraction form
    33,210/50,787 = 50,787/x
  3. Step 3: Cross multiply
    33,210x = 50,787 × 50,787
  4. Step 4: Simplify right side
    33,210x = 2,579,319,369
  5. Step 5: Solve for x
    x = 2,579,319,369/33,210
  6. Step 6: Final answer
    x = 77,666.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.