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Finding the Third Proportional to 32,348 and 51,644

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Solution

The third proportional to 32,348 and 51,644 is: 82,450.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,348 : 51,644 = 51,644 : x
  2. Step 2: Convert to fraction form
    32,348/51,644 = 51,644/x
  3. Step 3: Cross multiply
    32,348x = 51,644 × 51,644
  4. Step 4: Simplify right side
    32,348x = 2,667,102,736
  5. Step 5: Solve for x
    x = 2,667,102,736/32,348
  6. Step 6: Final answer
    x = 82,450.31

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.