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Finding the Third Proportional to 28,758 and 59,244

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Solution

The third proportional to 28,758 and 59,244 is: 122,047.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,758 : 59,244 = 59,244 : x
  2. Step 2: Convert to fraction form
    28,758/59,244 = 59,244/x
  3. Step 3: Cross multiply
    28,758x = 59,244 × 59,244
  4. Step 4: Simplify right side
    28,758x = 3,509,851,536
  5. Step 5: Solve for x
    x = 3,509,851,536/28,758
  6. Step 6: Final answer
    x = 122,047.83

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.