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Finding the Third Proportional to 34,652 and 75,521

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Solution

The third proportional to 34,652 and 75,521 is: 164,591.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,652 : 75,521 = 75,521 : x
  2. Step 2: Convert to fraction form
    34,652/75,521 = 75,521/x
  3. Step 3: Cross multiply
    34,652x = 75,521 × 75,521
  4. Step 4: Simplify right side
    34,652x = 5,703,421,441
  5. Step 5: Solve for x
    x = 5,703,421,441/34,652
  6. Step 6: Final answer
    x = 164,591.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.