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Finding the Third Proportional to 6,913.69 and 14,723.44

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Solution

The third proportional to 6,913.69 and 14,723.44 is: 31,355.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,913.69 : 14,723.44 = 14,723.44 : x
  2. Step 2: Convert to fraction form
    6,913.69/14,723.44 = 14,723.44/x
  3. Step 3: Cross multiply
    6,913.69x = 14,723.44 × 14,723.44
  4. Step 4: Simplify right side
    6,913.69x = 216,779,611.82
  5. Step 5: Solve for x
    x = 216,779,611.82/6,913.69
  6. Step 6: Final answer
    x = 31,355.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.