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Finding the Third Proportional to 26,144 and 56,464

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Solution

The third proportional to 26,144 and 56,464 is: 121,947.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,144 : 56,464 = 56,464 : x
  2. Step 2: Convert to fraction form
    26,144/56,464 = 56,464/x
  3. Step 3: Cross multiply
    26,144x = 56,464 × 56,464
  4. Step 4: Simplify right side
    26,144x = 3,188,183,296
  5. Step 5: Solve for x
    x = 3,188,183,296/26,144
  6. Step 6: Final answer
    x = 121,947.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.