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Finding the Third Proportional to 1,755.94 and 2,607.21

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Solution

The third proportional to 1,755.94 and 2,607.21 is: 3,871.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.94 : 2,607.21 = 2,607.21 : x
  2. Step 2: Convert to fraction form
    1,755.94/2,607.21 = 2,607.21/x
  3. Step 3: Cross multiply
    1,755.94x = 2,607.21 × 2,607.21
  4. Step 4: Simplify right side
    1,755.94x = 6,797,529.78
  5. Step 5: Solve for x
    x = 6,797,529.78/1,755.94
  6. Step 6: Final answer
    x = 3,871.17

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.