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Finding the Third Proportional to 43,994 and 59,771

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Solution

The third proportional to 43,994 and 59,771 is: 81,205.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,994 : 59,771 = 59,771 : x
  2. Step 2: Convert to fraction form
    43,994/59,771 = 59,771/x
  3. Step 3: Cross multiply
    43,994x = 59,771 × 59,771
  4. Step 4: Simplify right side
    43,994x = 3,572,572,441
  5. Step 5: Solve for x
    x = 3,572,572,441/43,994
  6. Step 6: Final answer
    x = 81,205.90

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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.