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Finding the Third Proportional to 32,252 and 51,306

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Solution

The third proportional to 32,252 and 51,306 is: 81,616.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,252 : 51,306 = 51,306 : x
  2. Step 2: Convert to fraction form
    32,252/51,306 = 51,306/x
  3. Step 3: Cross multiply
    32,252x = 51,306 × 51,306
  4. Step 4: Simplify right side
    32,252x = 2,632,305,636
  5. Step 5: Solve for x
    x = 2,632,305,636/32,252
  6. Step 6: Final answer
    x = 81,616.82

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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.