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Finding the Third Proportional to 26,127 and 54,819

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Solution

The third proportional to 26,127 and 54,819 is: 115,019.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,127 : 54,819 = 54,819 : x
  2. Step 2: Convert to fraction form
    26,127/54,819 = 54,819/x
  3. Step 3: Cross multiply
    26,127x = 54,819 × 54,819
  4. Step 4: Simplify right side
    26,127x = 3,005,122,761
  5. Step 5: Solve for x
    x = 3,005,122,761/26,127
  6. Step 6: Final answer
    x = 115,019.82

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.