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Finding the Third Proportional to 26,856 and 58,896

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Solution

The third proportional to 26,856 and 58,896 is: 129,160.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,856 : 58,896 = 58,896 : x
  2. Step 2: Convert to fraction form
    26,856/58,896 = 58,896/x
  3. Step 3: Cross multiply
    26,856x = 58,896 × 58,896
  4. Step 4: Simplify right side
    26,856x = 3,468,738,816
  5. Step 5: Solve for x
    x = 3,468,738,816/26,856
  6. Step 6: Final answer
    x = 129,160.66

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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.