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Finding the Third Proportional to 6,163.59 and 13,095.11

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Solution

The third proportional to 6,163.59 and 13,095.11 is: 27,821.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.59 : 13,095.11 = 13,095.11 : x
  2. Step 2: Convert to fraction form
    6,163.59/13,095.11 = 13,095.11/x
  3. Step 3: Cross multiply
    6,163.59x = 13,095.11 × 13,095.11
  4. Step 4: Simplify right side
    6,163.59x = 171,481,787.24
  5. Step 5: Solve for x
    x = 171,481,787.24/6,163.59
  6. Step 6: Final answer
    x = 27,821.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.