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Finding the Third Proportional to 33,752 and 72,392

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Solution

The third proportional to 33,752 and 72,392 is: 155,267.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,752 : 72,392 = 72,392 : x
  2. Step 2: Convert to fraction form
    33,752/72,392 = 72,392/x
  3. Step 3: Cross multiply
    33,752x = 72,392 × 72,392
  4. Step 4: Simplify right side
    33,752x = 5,240,601,664
  5. Step 5: Solve for x
    x = 5,240,601,664/33,752
  6. Step 6: Final answer
    x = 155,267.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.