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Finding the Third Proportional to 27,384 and 56,065.50

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Solution

The third proportional to 27,384 and 56,065.50 is: 114,787.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,384 : 56,065.50 = 56,065.50 : x
  2. Step 2: Convert to fraction form
    27,384/56,065.50 = 56,065.50/x
  3. Step 3: Cross multiply
    27,384x = 56,065.50 × 56,065.50
  4. Step 4: Simplify right side
    27,384x = 3,143,340,290.25
  5. Step 5: Solve for x
    x = 3,143,340,290.25/27,384
  6. Step 6: Final answer
    x = 114,787.48

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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.