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Finding the Third Proportional to 44,622 and 59,489

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Solution

The third proportional to 44,622 and 59,489 is: 79,309.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,622 : 59,489 = 59,489 : x
  2. Step 2: Convert to fraction form
    44,622/59,489 = 59,489/x
  3. Step 3: Cross multiply
    44,622x = 59,489 × 59,489
  4. Step 4: Simplify right side
    44,622x = 3,538,941,121
  5. Step 5: Solve for x
    x = 3,538,941,121/44,622
  6. Step 6: Final answer
    x = 79,309.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.