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Finding the Third Proportional to 3,834.84 and 5,625.94

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Solution

The third proportional to 3,834.84 and 5,625.94 is: 8,253.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.84 : 5,625.94 = 5,625.94 : x
  2. Step 2: Convert to fraction form
    3,834.84/5,625.94 = 5,625.94/x
  3. Step 3: Cross multiply
    3,834.84x = 5,625.94 × 5,625.94
  4. Step 4: Simplify right side
    3,834.84x = 31,651,172.75
  5. Step 5: Solve for x
    x = 31,651,172.75/3,834.84
  6. Step 6: Final answer
    x = 8,253.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.