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Finding the Third Proportional to 736.31 and 1,566.28

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Solution

The third proportional to 736.31 and 1,566.28 is: 3,331.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.31 : 1,566.28 = 1,566.28 : x
  2. Step 2: Convert to fraction form
    736.31/1,566.28 = 1,566.28/x
  3. Step 3: Cross multiply
    736.31x = 1,566.28 × 1,566.28
  4. Step 4: Simplify right side
    736.31x = 2,453,236.95
  5. Step 5: Solve for x
    x = 2,453,236.95/736.31
  6. Step 6: Final answer
    x = 3,331.79

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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.