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Finding the Third Proportional to 1,856.25 and 4,122.56

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Solution

The third proportional to 1,856.25 and 4,122.56 is: 9,155.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.25 : 4,122.56 = 4,122.56 : x
  2. Step 2: Convert to fraction form
    1,856.25/4,122.56 = 4,122.56/x
  3. Step 3: Cross multiply
    1,856.25x = 4,122.56 × 4,122.56
  4. Step 4: Simplify right side
    1,856.25x = 16,995,521.57
  5. Step 5: Solve for x
    x = 16,995,521.57/1,856.25
  6. Step 6: Final answer
    x = 9,155.84

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.