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Finding the Third Proportional to 1,336.31 and 3,156.56

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Solution

The third proportional to 1,336.31 and 3,156.56 is: 7,456.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.31 : 3,156.56 = 3,156.56 : x
  2. Step 2: Convert to fraction form
    1,336.31/3,156.56 = 3,156.56/x
  3. Step 3: Cross multiply
    1,336.31x = 3,156.56 × 3,156.56
  4. Step 4: Simplify right side
    1,336.31x = 9,963,886.82
  5. Step 5: Solve for x
    x = 9,963,886.82/1,336.31
  6. Step 6: Final answer
    x = 7,456.26

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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.