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Finding the Third Proportional to 26,593 and 56,642

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Solution

The third proportional to 26,593 and 56,642 is: 120,645.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,593 : 56,642 = 56,642 : x
  2. Step 2: Convert to fraction form
    26,593/56,642 = 56,642/x
  3. Step 3: Cross multiply
    26,593x = 56,642 × 56,642
  4. Step 4: Simplify right side
    26,593x = 3,208,316,164
  5. Step 5: Solve for x
    x = 3,208,316,164/26,593
  6. Step 6: Final answer
    x = 120,645.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.