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Finding the Third Proportional to 33,103 and 46,306

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Solution

The third proportional to 33,103 and 46,306 is: 64,774.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,103 : 46,306 = 46,306 : x
  2. Step 2: Convert to fraction form
    33,103/46,306 = 46,306/x
  3. Step 3: Cross multiply
    33,103x = 46,306 × 46,306
  4. Step 4: Simplify right side
    33,103x = 2,144,245,636
  5. Step 5: Solve for x
    x = 2,144,245,636/33,103
  6. Step 6: Final answer
    x = 64,774.96

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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.