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Finding the Third Proportional to 3,051.84 and 3,423.09

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Solution

The third proportional to 3,051.84 and 3,423.09 is: 3,839.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.84 : 3,423.09 = 3,423.09 : x
  2. Step 2: Convert to fraction form
    3,051.84/3,423.09 = 3,423.09/x
  3. Step 3: Cross multiply
    3,051.84x = 3,423.09 × 3,423.09
  4. Step 4: Simplify right side
    3,051.84x = 11,717,570.82
  5. Step 5: Solve for x
    x = 11,717,570.82/3,051.84
  6. Step 6: Final answer
    x = 3,839.51

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.