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Finding the Third Proportional to 951.84 and 2,224.03

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Solution

The third proportional to 951.84 and 2,224.03 is: 5,196.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.84 : 2,224.03 = 2,224.03 : x
  2. Step 2: Convert to fraction form
    951.84/2,224.03 = 2,224.03/x
  3. Step 3: Cross multiply
    951.84x = 2,224.03 × 2,224.03
  4. Step 4: Simplify right side
    951.84x = 4,946,315.00
  5. Step 5: Solve for x
    x = 4,946,315.00/951.84
  6. Step 6: Final answer
    x = 5,196.56

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.