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Finding the Third Proportional to 33,496 and 45,491

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Solution

The third proportional to 33,496 and 45,491 is: 61,781.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,496 : 45,491 = 45,491 : x
  2. Step 2: Convert to fraction form
    33,496/45,491 = 45,491/x
  3. Step 3: Cross multiply
    33,496x = 45,491 × 45,491
  4. Step 4: Simplify right side
    33,496x = 2,069,431,081
  5. Step 5: Solve for x
    x = 2,069,431,081/33,496
  6. Step 6: Final answer
    x = 61,781.44

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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.