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Finding the Third Proportional to 27,796 and 56,724

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Solution

The third proportional to 27,796 and 56,724 is: 115,758.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,796 : 56,724 = 56,724 : x
  2. Step 2: Convert to fraction form
    27,796/56,724 = 56,724/x
  3. Step 3: Cross multiply
    27,796x = 56,724 × 56,724
  4. Step 4: Simplify right side
    27,796x = 3,217,612,176
  5. Step 5: Solve for x
    x = 3,217,612,176/27,796
  6. Step 6: Final answer
    x = 115,758.10

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.