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Finding the Third Proportional to 6,805.69 and 14,429.81

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Solution

The third proportional to 6,805.69 and 14,429.81 is: 30,594.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.69 : 14,429.81 = 14,429.81 : x
  2. Step 2: Convert to fraction form
    6,805.69/14,429.81 = 14,429.81/x
  3. Step 3: Cross multiply
    6,805.69x = 14,429.81 × 14,429.81
  4. Step 4: Simplify right side
    6,805.69x = 208,219,488.79
  5. Step 5: Solve for x
    x = 208,219,488.79/6,805.69
  6. Step 6: Final answer
    x = 30,594.92

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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.