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Finding the Third Proportional to 834.94 and 1,772.40

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Solution

The third proportional to 834.94 and 1,772.40 is: 3,762.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.94 : 1,772.40 = 1,772.40 : x
  2. Step 2: Convert to fraction form
    834.94/1,772.40 = 1,772.40/x
  3. Step 3: Cross multiply
    834.94x = 1,772.40 × 1,772.40
  4. Step 4: Simplify right side
    834.94x = 3,141,398.38
  5. Step 5: Solve for x
    x = 3,141,398.38/834.94
  6. Step 6: Final answer
    x = 3,762.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.