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Finding the Third Proportional to 942.68 and 2,282.34

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Solution

The third proportional to 942.68 and 2,282.34 is: 5,525.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.68 : 2,282.34 = 2,282.34 : x
  2. Step 2: Convert to fraction form
    942.68/2,282.34 = 2,282.34/x
  3. Step 3: Cross multiply
    942.68x = 2,282.34 × 2,282.34
  4. Step 4: Simplify right side
    942.68x = 5,209,092.99
  5. Step 5: Solve for x
    x = 5,209,092.99/942.68
  6. Step 6: Final answer
    x = 5,525.84

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.