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Finding the Third Proportional to 874.25 and 2,056.25

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Solution

The third proportional to 874.25 and 2,056.25 is: 4,836.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.25 : 2,056.25 = 2,056.25 : x
  2. Step 2: Convert to fraction form
    874.25/2,056.25 = 2,056.25/x
  3. Step 3: Cross multiply
    874.25x = 2,056.25 × 2,056.25
  4. Step 4: Simplify right side
    874.25x = 4,228,164.06
  5. Step 5: Solve for x
    x = 4,228,164.06/874.25
  6. Step 6: Final answer
    x = 4,836.33

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.