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Finding the Third Proportional to 28,027 and 58,648

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Solution

The third proportional to 28,027 and 58,648 is: 122,724.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,027 : 58,648 = 58,648 : x
  2. Step 2: Convert to fraction form
    28,027/58,648 = 58,648/x
  3. Step 3: Cross multiply
    28,027x = 58,648 × 58,648
  4. Step 4: Simplify right side
    28,027x = 3,439,587,904
  5. Step 5: Solve for x
    x = 3,439,587,904/28,027
  6. Step 6: Final answer
    x = 122,724.08

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.