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Finding the Third Proportional to 29,496 and 44,533

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Solution

The third proportional to 29,496 and 44,533 is: 67,235.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,496 : 44,533 = 44,533 : x
  2. Step 2: Convert to fraction form
    29,496/44,533 = 44,533/x
  3. Step 3: Cross multiply
    29,496x = 44,533 × 44,533
  4. Step 4: Simplify right side
    29,496x = 1,983,188,089
  5. Step 5: Solve for x
    x = 1,983,188,089/29,496
  6. Step 6: Final answer
    x = 67,235.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.