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Finding the Third Proportional to 26,796 and 58,205

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Solution

The third proportional to 26,796 and 58,205 is: 126,430.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,796 : 58,205 = 58,205 : x
  2. Step 2: Convert to fraction form
    26,796/58,205 = 58,205/x
  3. Step 3: Cross multiply
    26,796x = 58,205 × 58,205
  4. Step 4: Simplify right side
    26,796x = 3,387,822,025
  5. Step 5: Solve for x
    x = 3,387,822,025/26,796
  6. Step 6: Final answer
    x = 126,430.14

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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.