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Finding the Third Proportional to 3,424.50 and 7,291.13

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Solution

The third proportional to 3,424.50 and 7,291.13 is: 15,523.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.50 : 7,291.13 = 7,291.13 : x
  2. Step 2: Convert to fraction form
    3,424.50/7,291.13 = 7,291.13/x
  3. Step 3: Cross multiply
    3,424.50x = 7,291.13 × 7,291.13
  4. Step 4: Simplify right side
    3,424.50x = 53,160,503.77
  5. Step 5: Solve for x
    x = 53,160,503.77/3,424.50
  6. Step 6: Final answer
    x = 15,523.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.