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Finding the Third Proportional to 6,544.69 and 14,311.13

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Solution

The third proportional to 6,544.69 and 14,311.13 is: 31,293.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.69 : 14,311.13 = 14,311.13 : x
  2. Step 2: Convert to fraction form
    6,544.69/14,311.13 = 14,311.13/x
  3. Step 3: Cross multiply
    6,544.69x = 14,311.13 × 14,311.13
  4. Step 4: Simplify right side
    6,544.69x = 204,808,298.77
  5. Step 5: Solve for x
    x = 204,808,298.77/6,544.69
  6. Step 6: Final answer
    x = 31,293.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.