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Finding the Third Proportional to 27,248 and 58,796

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Solution

The third proportional to 27,248 and 58,796 is: 126,870.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,248 : 58,796 = 58,796 : x
  2. Step 2: Convert to fraction form
    27,248/58,796 = 58,796/x
  3. Step 3: Cross multiply
    27,248x = 58,796 × 58,796
  4. Step 4: Simplify right side
    27,248x = 3,456,969,616
  5. Step 5: Solve for x
    x = 3,456,969,616/27,248
  6. Step 6: Final answer
    x = 126,870.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.