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Finding the Third Proportional to 947.75 and 1,046.75

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Solution

The third proportional to 947.75 and 1,046.75 is: 1,156.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.75 : 1,046.75 = 1,046.75 : x
  2. Step 2: Convert to fraction form
    947.75/1,046.75 = 1,046.75/x
  3. Step 3: Cross multiply
    947.75x = 1,046.75 × 1,046.75
  4. Step 4: Simplify right side
    947.75x = 1,095,685.56
  5. Step 5: Solve for x
    x = 1,095,685.56/947.75
  6. Step 6: Final answer
    x = 1,156.09

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.