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Finding the Third Proportional to 951.19 and 1,399.50

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Solution

The third proportional to 951.19 and 1,399.50 is: 2,059.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.19 : 1,399.50 = 1,399.50 : x
  2. Step 2: Convert to fraction form
    951.19/1,399.50 = 1,399.50/x
  3. Step 3: Cross multiply
    951.19x = 1,399.50 × 1,399.50
  4. Step 4: Simplify right side
    951.19x = 1,958,600.25
  5. Step 5: Solve for x
    x = 1,958,600.25/951.19
  6. Step 6: Final answer
    x = 2,059.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.