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Finding the Third Proportional to 33,830 and 75,424

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Solution

The third proportional to 33,830 and 75,424 is: 168,157.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,830 : 75,424 = 75,424 : x
  2. Step 2: Convert to fraction form
    33,830/75,424 = 75,424/x
  3. Step 3: Cross multiply
    33,830x = 75,424 × 75,424
  4. Step 4: Simplify right side
    33,830x = 5,688,779,776
  5. Step 5: Solve for x
    x = 5,688,779,776/33,830
  6. Step 6: Final answer
    x = 168,157.84

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.