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Finding the Third Proportional to 5,497.31 and 12,964.22

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Solution

The third proportional to 5,497.31 and 12,964.22 is: 30,573.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.31 : 12,964.22 = 12,964.22 : x
  2. Step 2: Convert to fraction form
    5,497.31/12,964.22 = 12,964.22/x
  3. Step 3: Cross multiply
    5,497.31x = 12,964.22 × 12,964.22
  4. Step 4: Simplify right side
    5,497.31x = 168,070,967.80
  5. Step 5: Solve for x
    x = 168,070,967.80/5,497.31
  6. Step 6: Final answer
    x = 30,573.30

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.