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Finding the Third Proportional to 2,442.75 and 2,777.25

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Solution

The third proportional to 2,442.75 and 2,777.25 is: 3,157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.75 : 2,777.25 = 2,777.25 : x
  2. Step 2: Convert to fraction form
    2,442.75/2,777.25 = 2,777.25/x
  3. Step 3: Cross multiply
    2,442.75x = 2,777.25 × 2,777.25
  4. Step 4: Simplify right side
    2,442.75x = 7,713,117.56
  5. Step 5: Solve for x
    x = 7,713,117.56/2,442.75
  6. Step 6: Final answer
    x = 3,157.56

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.