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Finding the Third Proportional to 26,966 and 56,724

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Solution

The third proportional to 26,966 and 56,724 is: 119,321.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,966 : 56,724 = 56,724 : x
  2. Step 2: Convert to fraction form
    26,966/56,724 = 56,724/x
  3. Step 3: Cross multiply
    26,966x = 56,724 × 56,724
  4. Step 4: Simplify right side
    26,966x = 3,217,612,176
  5. Step 5: Solve for x
    x = 3,217,612,176/26,966
  6. Step 6: Final answer
    x = 119,321.08

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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.