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Finding the Third Proportional to 32,198 and 48,501

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Solution

The third proportional to 32,198 and 48,501 is: 73,058.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,198 : 48,501 = 48,501 : x
  2. Step 2: Convert to fraction form
    32,198/48,501 = 48,501/x
  3. Step 3: Cross multiply
    32,198x = 48,501 × 48,501
  4. Step 4: Simplify right side
    32,198x = 2,352,347,001
  5. Step 5: Solve for x
    x = 2,352,347,001/32,198
  6. Step 6: Final answer
    x = 73,058.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.