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Finding the Third Proportional to 3,272.64 and 7,064.19

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Solution

The third proportional to 3,272.64 and 7,064.19 is: 15,248.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.64 : 7,064.19 = 7,064.19 : x
  2. Step 2: Convert to fraction form
    3,272.64/7,064.19 = 7,064.19/x
  3. Step 3: Cross multiply
    3,272.64x = 7,064.19 × 7,064.19
  4. Step 4: Simplify right side
    3,272.64x = 49,902,800.22
  5. Step 5: Solve for x
    x = 49,902,800.22/3,272.64
  6. Step 6: Final answer
    x = 15,248.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.