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Finding the Third Proportional to 26,858 and 59,028

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Solution

The third proportional to 26,858 and 59,028 is: 129,730.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,858 : 59,028 = 59,028 : x
  2. Step 2: Convert to fraction form
    26,858/59,028 = 59,028/x
  3. Step 3: Cross multiply
    26,858x = 59,028 × 59,028
  4. Step 4: Simplify right side
    26,858x = 3,484,304,784
  5. Step 5: Solve for x
    x = 3,484,304,784/26,858
  6. Step 6: Final answer
    x = 129,730.61

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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.