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Finding the Third Proportional to 26,141 and 56,845

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Solution

The third proportional to 26,141 and 56,845 is: 123,612.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,141 : 56,845 = 56,845 : x
  2. Step 2: Convert to fraction form
    26,141/56,845 = 56,845/x
  3. Step 3: Cross multiply
    26,141x = 56,845 × 56,845
  4. Step 4: Simplify right side
    26,141x = 3,231,354,025
  5. Step 5: Solve for x
    x = 3,231,354,025/26,141
  6. Step 6: Final answer
    x = 123,612.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.