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Finding the Third Proportional to 33,748 and 75,271

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Solution

The third proportional to 33,748 and 75,271 is: 167,883.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,748 : 75,271 = 75,271 : x
  2. Step 2: Convert to fraction form
    33,748/75,271 = 75,271/x
  3. Step 3: Cross multiply
    33,748x = 75,271 × 75,271
  4. Step 4: Simplify right side
    33,748x = 5,665,723,441
  5. Step 5: Solve for x
    x = 5,665,723,441/33,748
  6. Step 6: Final answer
    x = 167,883.24

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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.