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Finding the Third Proportional to 3,150.19 and 4,634.02

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Solution

The third proportional to 3,150.19 and 4,634.02 is: 6,816.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,150.19 : 4,634.02 = 4,634.02 : x
  2. Step 2: Convert to fraction form
    3,150.19/4,634.02 = 4,634.02/x
  3. Step 3: Cross multiply
    3,150.19x = 4,634.02 × 4,634.02
  4. Step 4: Simplify right side
    3,150.19x = 21,474,100.81
  5. Step 5: Solve for x
    x = 21,474,100.81/3,150.19
  6. Step 6: Final answer
    x = 6,816.77

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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.