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Finding the Third Proportional to 25,366 and 38,050

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Solution

The third proportional to 25,366 and 38,050 is: 57,076.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,366 : 38,050 = 38,050 : x
  2. Step 2: Convert to fraction form
    25,366/38,050 = 38,050/x
  3. Step 3: Cross multiply
    25,366x = 38,050 × 38,050
  4. Step 4: Simplify right side
    25,366x = 1,447,802,500
  5. Step 5: Solve for x
    x = 1,447,802,500/25,366
  6. Step 6: Final answer
    x = 57,076.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.