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Finding the Third Proportional to 2,192.25 and 4,734.75

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Solution

The third proportional to 2,192.25 and 4,734.75 is: 10,225.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.25 : 4,734.75 = 4,734.75 : x
  2. Step 2: Convert to fraction form
    2,192.25/4,734.75 = 4,734.75/x
  3. Step 3: Cross multiply
    2,192.25x = 4,734.75 × 4,734.75
  4. Step 4: Simplify right side
    2,192.25x = 22,417,857.56
  5. Step 5: Solve for x
    x = 22,417,857.56/2,192.25
  6. Step 6: Final answer
    x = 10,225.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.