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Finding the Third Proportional to 25,350 and 37,086

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Solution

The third proportional to 25,350 and 37,086 is: 54,255.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,350 : 37,086 = 37,086 : x
  2. Step 2: Convert to fraction form
    25,350/37,086 = 37,086/x
  3. Step 3: Cross multiply
    25,350x = 37,086 × 37,086
  4. Step 4: Simplify right side
    25,350x = 1,375,371,396
  5. Step 5: Solve for x
    x = 1,375,371,396/25,350
  6. Step 6: Final answer
    x = 54,255.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.