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Finding the Third Proportional to 26,101 and 55,889

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Solution

The third proportional to 26,101 and 55,889 is: 119,672.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,101 : 55,889 = 55,889 : x
  2. Step 2: Convert to fraction form
    26,101/55,889 = 55,889/x
  3. Step 3: Cross multiply
    26,101x = 55,889 × 55,889
  4. Step 4: Simplify right side
    26,101x = 3,123,580,321
  5. Step 5: Solve for x
    x = 3,123,580,321/26,101
  6. Step 6: Final answer
    x = 119,672.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.