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Finding the Third Proportional to 33,584 and 45,638

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Solution

The third proportional to 33,584 and 45,638 is: 62,018.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,584 : 45,638 = 45,638 : x
  2. Step 2: Convert to fraction form
    33,584/45,638 = 45,638/x
  3. Step 3: Cross multiply
    33,584x = 45,638 × 45,638
  4. Step 4: Simplify right side
    33,584x = 2,082,827,044
  5. Step 5: Solve for x
    x = 2,082,827,044/33,584
  6. Step 6: Final answer
    x = 62,018.43

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.