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Finding the Third Proportional to 951.38 and 2,024.25

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Solution

The third proportional to 951.38 and 2,024.25 is: 4,307.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.38 : 2,024.25 = 2,024.25 : x
  2. Step 2: Convert to fraction form
    951.38/2,024.25 = 2,024.25/x
  3. Step 3: Cross multiply
    951.38x = 2,024.25 × 2,024.25
  4. Step 4: Simplify right side
    951.38x = 4,097,588.06
  5. Step 5: Solve for x
    x = 4,097,588.06/951.38
  6. Step 6: Final answer
    x = 4,307.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.