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Finding the Third Proportional to 2,292.75 and 3,011.44

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Solution

The third proportional to 2,292.75 and 3,011.44 is: 3,955.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.75 : 3,011.44 = 3,011.44 : x
  2. Step 2: Convert to fraction form
    2,292.75/3,011.44 = 3,011.44/x
  3. Step 3: Cross multiply
    2,292.75x = 3,011.44 × 3,011.44
  4. Step 4: Simplify right side
    2,292.75x = 9,068,755.82
  5. Step 5: Solve for x
    x = 9,068,755.82/2,292.75
  6. Step 6: Final answer
    x = 3,955.41

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.