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Finding the Third Proportional to 27,216 and 55,768.50

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Solution

The third proportional to 27,216 and 55,768.50 is: 114,275.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,216 : 55,768.50 = 55,768.50 : x
  2. Step 2: Convert to fraction form
    27,216/55,768.50 = 55,768.50/x
  3. Step 3: Cross multiply
    27,216x = 55,768.50 × 55,768.50
  4. Step 4: Simplify right side
    27,216x = 3,110,125,592.25
  5. Step 5: Solve for x
    x = 3,110,125,592.25/27,216
  6. Step 6: Final answer
    x = 114,275.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.