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Finding the Third Proportional to 32,969 and 48,198

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Solution

The third proportional to 32,969 and 48,198 is: 70,461.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,969 : 48,198 = 48,198 : x
  2. Step 2: Convert to fraction form
    32,969/48,198 = 48,198/x
  3. Step 3: Cross multiply
    32,969x = 48,198 × 48,198
  4. Step 4: Simplify right side
    32,969x = 2,323,047,204
  5. Step 5: Solve for x
    x = 2,323,047,204/32,969
  6. Step 6: Final answer
    x = 70,461.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.