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Finding the Third Proportional to 33,579 and 45,441

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Solution

The third proportional to 33,579 and 45,441 is: 61,493.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,579 : 45,441 = 45,441 : x
  2. Step 2: Convert to fraction form
    33,579/45,441 = 45,441/x
  3. Step 3: Cross multiply
    33,579x = 45,441 × 45,441
  4. Step 4: Simplify right side
    33,579x = 2,064,884,481
  5. Step 5: Solve for x
    x = 2,064,884,481/33,579
  6. Step 6: Final answer
    x = 61,493.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.