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Finding the Third Proportional to 27,168 and 56,028

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Solution

The third proportional to 27,168 and 56,028 is: 115,545.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,168 : 56,028 = 56,028 : x
  2. Step 2: Convert to fraction form
    27,168/56,028 = 56,028/x
  3. Step 3: Cross multiply
    27,168x = 56,028 × 56,028
  4. Step 4: Simplify right side
    27,168x = 3,139,136,784
  5. Step 5: Solve for x
    x = 3,139,136,784/27,168
  6. Step 6: Final answer
    x = 115,545.38

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.