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Finding the Third Proportional to 33,332 and 46,879

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Solution

The third proportional to 33,332 and 46,879 is: 65,931.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,332 : 46,879 = 46,879 : x
  2. Step 2: Convert to fraction form
    33,332/46,879 = 46,879/x
  3. Step 3: Cross multiply
    33,332x = 46,879 × 46,879
  4. Step 4: Simplify right side
    33,332x = 2,197,640,641
  5. Step 5: Solve for x
    x = 2,197,640,641/33,332
  6. Step 6: Final answer
    x = 65,931.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.