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Finding the Third Proportional to 23,670 and 37,115

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Solution

The third proportional to 23,670 and 37,115 is: 58,197.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,670 : 37,115 = 37,115 : x
  2. Step 2: Convert to fraction form
    23,670/37,115 = 37,115/x
  3. Step 3: Cross multiply
    23,670x = 37,115 × 37,115
  4. Step 4: Simplify right side
    23,670x = 1,377,523,225
  5. Step 5: Solve for x
    x = 1,377,523,225/23,670
  6. Step 6: Final answer
    x = 58,197.01

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.