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Finding the Third Proportional to 32,969 and 52,393

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Solution

The third proportional to 32,969 and 52,393 is: 83,260.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,969 : 52,393 = 52,393 : x
  2. Step 2: Convert to fraction form
    32,969/52,393 = 52,393/x
  3. Step 3: Cross multiply
    32,969x = 52,393 × 52,393
  4. Step 4: Simplify right side
    32,969x = 2,745,026,449
  5. Step 5: Solve for x
    x = 2,745,026,449/32,969
  6. Step 6: Final answer
    x = 83,260.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.