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Finding the Third Proportional to 25,150 and 52,366

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Solution

The third proportional to 25,150 and 52,366 is: 109,033.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,150 : 52,366 = 52,366 : x
  2. Step 2: Convert to fraction form
    25,150/52,366 = 52,366/x
  3. Step 3: Cross multiply
    25,150x = 52,366 × 52,366
  4. Step 4: Simplify right side
    25,150x = 2,742,197,956
  5. Step 5: Solve for x
    x = 2,742,197,956/25,150
  6. Step 6: Final answer
    x = 109,033.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.