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Finding the Third Proportional to 26,356 and 57,640

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Solution

The third proportional to 26,356 and 57,640 is: 126,057.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,356 : 57,640 = 57,640 : x
  2. Step 2: Convert to fraction form
    26,356/57,640 = 57,640/x
  3. Step 3: Cross multiply
    26,356x = 57,640 × 57,640
  4. Step 4: Simplify right side
    26,356x = 3,322,369,600
  5. Step 5: Solve for x
    x = 3,322,369,600/26,356
  6. Step 6: Final answer
    x = 126,057.43

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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.