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Finding the Third Proportional to 33,101 and 46,303

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Solution

The third proportional to 33,101 and 46,303 is: 64,770.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,101 : 46,303 = 46,303 : x
  2. Step 2: Convert to fraction form
    33,101/46,303 = 46,303/x
  3. Step 3: Cross multiply
    33,101x = 46,303 × 46,303
  4. Step 4: Simplify right side
    33,101x = 2,143,967,809
  5. Step 5: Solve for x
    x = 2,143,967,809/33,101
  6. Step 6: Final answer
    x = 64,770.48

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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.