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Finding the Third Proportional to 28,041 and 59,826

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Solution

The third proportional to 28,041 and 59,826 is: 127,639.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,041 : 59,826 = 59,826 : x
  2. Step 2: Convert to fraction form
    28,041/59,826 = 59,826/x
  3. Step 3: Cross multiply
    28,041x = 59,826 × 59,826
  4. Step 4: Simplify right side
    28,041x = 3,579,150,276
  5. Step 5: Solve for x
    x = 3,579,150,276/28,041
  6. Step 6: Final answer
    x = 127,639.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.