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Finding the Third Proportional to 26,937 and 40,892

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Solution

The third proportional to 26,937 and 40,892 is: 62,076.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,937 : 40,892 = 40,892 : x
  2. Step 2: Convert to fraction form
    26,937/40,892 = 40,892/x
  3. Step 3: Cross multiply
    26,937x = 40,892 × 40,892
  4. Step 4: Simplify right side
    26,937x = 1,672,155,664
  5. Step 5: Solve for x
    x = 1,672,155,664/26,937
  6. Step 6: Final answer
    x = 62,076.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.