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Finding the Third Proportional to 25,354 and 37,115

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Solution

The third proportional to 25,354 and 37,115 is: 54,331.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,354 : 37,115 = 37,115 : x
  2. Step 2: Convert to fraction form
    25,354/37,115 = 37,115/x
  3. Step 3: Cross multiply
    25,354x = 37,115 × 37,115
  4. Step 4: Simplify right side
    25,354x = 1,377,523,225
  5. Step 5: Solve for x
    x = 1,377,523,225/25,354
  6. Step 6: Final answer
    x = 54,331.59

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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.