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Finding the Third Proportional to 25,380 and 36,074

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Solution

The third proportional to 25,380 and 36,074 is: 51,273.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,380 : 36,074 = 36,074 : x
  2. Step 2: Convert to fraction form
    25,380/36,074 = 36,074/x
  3. Step 3: Cross multiply
    25,380x = 36,074 × 36,074
  4. Step 4: Simplify right side
    25,380x = 1,301,333,476
  5. Step 5: Solve for x
    x = 1,301,333,476/25,380
  6. Step 6: Final answer
    x = 51,273.97

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.