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Finding the Third Proportional to 951.25 and 1,433.63

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Solution

The third proportional to 951.25 and 1,433.63 is: 2,160.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.25 : 1,433.63 = 1,433.63 : x
  2. Step 2: Convert to fraction form
    951.25/1,433.63 = 1,433.63/x
  3. Step 3: Cross multiply
    951.25x = 1,433.63 × 1,433.63
  4. Step 4: Simplify right side
    951.25x = 2,055,280.64
  5. Step 5: Solve for x
    x = 2,055,280.64/951.25
  6. Step 6: Final answer
    x = 2,160.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.