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Finding the Third Proportional to 945 and 1,224.75

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Solution

The third proportional to 945 and 1,224.75 is: 1,587.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    945 : 1,224.75 = 1,224.75 : x
  2. Step 2: Convert to fraction form
    945/1,224.75 = 1,224.75/x
  3. Step 3: Cross multiply
    945x = 1,224.75 × 1,224.75
  4. Step 4: Simplify right side
    945x = 1,500,012.56
  5. Step 5: Solve for x
    x = 1,500,012.56/945
  6. Step 6: Final answer
    x = 1,587.31

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.