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Finding the Third Proportional to 1,381.88 and 3,011.44

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Solution

The third proportional to 1,381.88 and 3,011.44 is: 6,562.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.88 : 3,011.44 = 3,011.44 : x
  2. Step 2: Convert to fraction form
    1,381.88/3,011.44 = 3,011.44/x
  3. Step 3: Cross multiply
    1,381.88x = 3,011.44 × 3,011.44
  4. Step 4: Simplify right side
    1,381.88x = 9,068,755.82
  5. Step 5: Solve for x
    x = 9,068,755.82/1,381.88
  6. Step 6: Final answer
    x = 6,562.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.