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Finding the Third Proportional to 33,416 and 46,720

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Solution

The third proportional to 33,416 and 46,720 is: 65,320.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,416 : 46,720 = 46,720 : x
  2. Step 2: Convert to fraction form
    33,416/46,720 = 46,720/x
  3. Step 3: Cross multiply
    33,416x = 46,720 × 46,720
  4. Step 4: Simplify right side
    33,416x = 2,182,758,400
  5. Step 5: Solve for x
    x = 2,182,758,400/33,416
  6. Step 6: Final answer
    x = 65,320.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.