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Finding the Third Proportional to 2,046.94 and 2,931.19

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Solution

The third proportional to 2,046.94 and 2,931.19 is: 4,197.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.94 : 2,931.19 = 2,931.19 : x
  2. Step 2: Convert to fraction form
    2,046.94/2,931.19 = 2,931.19/x
  3. Step 3: Cross multiply
    2,046.94x = 2,931.19 × 2,931.19
  4. Step 4: Simplify right side
    2,046.94x = 8,591,860.16
  5. Step 5: Solve for x
    x = 8,591,860.16/2,046.94
  6. Step 6: Final answer
    x = 4,197.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.