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Finding the Third Proportional to 35,027 and 48,166

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Solution

The third proportional to 35,027 and 48,166 is: 66,233.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,027 : 48,166 = 48,166 : x
  2. Step 2: Convert to fraction form
    35,027/48,166 = 48,166/x
  3. Step 3: Cross multiply
    35,027x = 48,166 × 48,166
  4. Step 4: Simplify right side
    35,027x = 2,319,963,556
  5. Step 5: Solve for x
    x = 2,319,963,556/35,027
  6. Step 6: Final answer
    x = 66,233.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.