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Finding the Third Proportional to 33,428 and 44,373

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Solution

The third proportional to 33,428 and 44,373 is: 58,901.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,428 : 44,373 = 44,373 : x
  2. Step 2: Convert to fraction form
    33,428/44,373 = 44,373/x
  3. Step 3: Cross multiply
    33,428x = 44,373 × 44,373
  4. Step 4: Simplify right side
    33,428x = 1,968,963,129
  5. Step 5: Solve for x
    x = 1,968,963,129/33,428
  6. Step 6: Final answer
    x = 58,901.61

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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.