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Finding the Third Proportional to 35,070 and 48,212

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Solution

The third proportional to 35,070 and 48,212 is: 66,278.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,070 : 48,212 = 48,212 : x
  2. Step 2: Convert to fraction form
    35,070/48,212 = 48,212/x
  3. Step 3: Cross multiply
    35,070x = 48,212 × 48,212
  4. Step 4: Simplify right side
    35,070x = 2,324,396,944
  5. Step 5: Solve for x
    x = 2,324,396,944/35,070
  6. Step 6: Final answer
    x = 66,278.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.