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Finding the Third Proportional to 33,216 and 49,354

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Solution

The third proportional to 33,216 and 49,354 is: 73,332.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,216 : 49,354 = 49,354 : x
  2. Step 2: Convert to fraction form
    33,216/49,354 = 49,354/x
  3. Step 3: Cross multiply
    33,216x = 49,354 × 49,354
  4. Step 4: Simplify right side
    33,216x = 2,435,817,316
  5. Step 5: Solve for x
    x = 2,435,817,316/33,216
  6. Step 6: Final answer
    x = 73,332.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.