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Finding the Third Proportional to 947.53 and 1,159.31

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Solution

The third proportional to 947.53 and 1,159.31 is: 1,418.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.53 : 1,159.31 = 1,159.31 : x
  2. Step 2: Convert to fraction form
    947.53/1,159.31 = 1,159.31/x
  3. Step 3: Cross multiply
    947.53x = 1,159.31 × 1,159.31
  4. Step 4: Simplify right side
    947.53x = 1,344,005.47
  5. Step 5: Solve for x
    x = 1,344,005.47/947.53
  6. Step 6: Final answer
    x = 1,418.43

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.