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Finding the Third Proportional to 1,564.31 and 3,310.88

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Solution

The third proportional to 1,564.31 and 3,310.88 is: 7,007.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.31 : 3,310.88 = 3,310.88 : x
  2. Step 2: Convert to fraction form
    1,564.31/3,310.88 = 3,310.88/x
  3. Step 3: Cross multiply
    1,564.31x = 3,310.88 × 3,310.88
  4. Step 4: Simplify right side
    1,564.31x = 10,961,893.27
  5. Step 5: Solve for x
    x = 10,961,893.27/1,564.31
  6. Step 6: Final answer
    x = 7,007.48

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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.