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Finding the Third Proportional to 3,052.13 and 6,455.25

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Solution

The third proportional to 3,052.13 and 6,455.25 is: 13,652.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.13 : 6,455.25 = 6,455.25 : x
  2. Step 2: Convert to fraction form
    3,052.13/6,455.25 = 6,455.25/x
  3. Step 3: Cross multiply
    3,052.13x = 6,455.25 × 6,455.25
  4. Step 4: Simplify right side
    3,052.13x = 41,670,252.56
  5. Step 5: Solve for x
    x = 41,670,252.56/3,052.13
  6. Step 6: Final answer
    x = 13,652.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.