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Finding the Third Proportional to 33,276 and 44,298

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Solution

The third proportional to 33,276 and 44,298 is: 58,970.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,276 : 44,298 = 44,298 : x
  2. Step 2: Convert to fraction form
    33,276/44,298 = 44,298/x
  3. Step 3: Cross multiply
    33,276x = 44,298 × 44,298
  4. Step 4: Simplify right side
    33,276x = 1,962,312,804
  5. Step 5: Solve for x
    x = 1,962,312,804/33,276
  6. Step 6: Final answer
    x = 58,970.81

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.