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Finding the Third Proportional to 41,670 and 55,665

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Solution

The third proportional to 41,670 and 55,665 is: 74,360.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,670 : 55,665 = 55,665 : x
  2. Step 2: Convert to fraction form
    41,670/55,665 = 55,665/x
  3. Step 3: Cross multiply
    41,670x = 55,665 × 55,665
  4. Step 4: Simplify right side
    41,670x = 3,098,592,225
  5. Step 5: Solve for x
    x = 3,098,592,225/41,670
  6. Step 6: Final answer
    x = 74,360.26

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.