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Finding the Third Proportional to 26,240 and 56,512

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Solution

The third proportional to 26,240 and 56,512 is: 121,707.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,240 : 56,512 = 56,512 : x
  2. Step 2: Convert to fraction form
    26,240/56,512 = 56,512/x
  3. Step 3: Cross multiply
    26,240x = 56,512 × 56,512
  4. Step 4: Simplify right side
    26,240x = 3,193,606,144
  5. Step 5: Solve for x
    x = 3,193,606,144/26,240
  6. Step 6: Final answer
    x = 121,707.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.