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Finding the Third Proportional to 33,070 and 48,967

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Solution

The third proportional to 33,070 and 48,967 is: 72,505.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,070 : 48,967 = 48,967 : x
  2. Step 2: Convert to fraction form
    33,070/48,967 = 48,967/x
  3. Step 3: Cross multiply
    33,070x = 48,967 × 48,967
  4. Step 4: Simplify right side
    33,070x = 2,397,767,089
  5. Step 5: Solve for x
    x = 2,397,767,089/33,070
  6. Step 6: Final answer
    x = 72,505.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.