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Finding the Third Proportional to 26,736 and 58,632

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Solution

The third proportional to 26,736 and 58,632 is: 128,579.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,736 : 58,632 = 58,632 : x
  2. Step 2: Convert to fraction form
    26,736/58,632 = 58,632/x
  3. Step 3: Cross multiply
    26,736x = 58,632 × 58,632
  4. Step 4: Simplify right side
    26,736x = 3,437,711,424
  5. Step 5: Solve for x
    x = 3,437,711,424/26,736
  6. Step 6: Final answer
    x = 128,579.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.