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Finding the Third Proportional to 26,356 and 57,896

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Solution

The third proportional to 26,356 and 57,896 is: 127,179.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,356 : 57,896 = 57,896 : x
  2. Step 2: Convert to fraction form
    26,356/57,896 = 57,896/x
  3. Step 3: Cross multiply
    26,356x = 57,896 × 57,896
  4. Step 4: Simplify right side
    26,356x = 3,351,946,816
  5. Step 5: Solve for x
    x = 3,351,946,816/26,356
  6. Step 6: Final answer
    x = 127,179.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.