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Finding the Third Proportional to 6,823.69 and 14,946.19

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Solution

The third proportional to 6,823.69 and 14,946.19 is: 32,737.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.69 : 14,946.19 = 14,946.19 : x
  2. Step 2: Convert to fraction form
    6,823.69/14,946.19 = 14,946.19/x
  3. Step 3: Cross multiply
    6,823.69x = 14,946.19 × 14,946.19
  4. Step 4: Simplify right side
    6,823.69x = 223,388,520.79
  5. Step 5: Solve for x
    x = 223,388,520.79/6,823.69
  6. Step 6: Final answer
    x = 32,737.21

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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.