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Finding the Third Proportional to 5,661.84 and 12,834.84

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Solution

The third proportional to 5,661.84 and 12,834.84 is: 29,095.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.84 : 12,834.84 = 12,834.84 : x
  2. Step 2: Convert to fraction form
    5,661.84/12,834.84 = 12,834.84/x
  3. Step 3: Cross multiply
    5,661.84x = 12,834.84 × 12,834.84
  4. Step 4: Simplify right side
    5,661.84x = 164,733,214.09
  5. Step 5: Solve for x
    x = 164,733,214.09/5,661.84
  6. Step 6: Final answer
    x = 29,095.33

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.