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Finding the Third Proportional to 33,070 and 44,906

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Solution

The third proportional to 33,070 and 44,906 is: 60,978.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,070 : 44,906 = 44,906 : x
  2. Step 2: Convert to fraction form
    33,070/44,906 = 44,906/x
  3. Step 3: Cross multiply
    33,070x = 44,906 × 44,906
  4. Step 4: Simplify right side
    33,070x = 2,016,548,836
  5. Step 5: Solve for x
    x = 2,016,548,836/33,070
  6. Step 6: Final answer
    x = 60,978.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.