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Finding the Third Proportional to 2,936.25 and 4,381.59

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Solution

The third proportional to 2,936.25 and 4,381.59 is: 6,538.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.25 : 4,381.59 = 4,381.59 : x
  2. Step 2: Convert to fraction form
    2,936.25/4,381.59 = 4,381.59/x
  3. Step 3: Cross multiply
    2,936.25x = 4,381.59 × 4,381.59
  4. Step 4: Simplify right side
    2,936.25x = 19,198,363.79
  5. Step 5: Solve for x
    x = 19,198,363.79/2,936.25
  6. Step 6: Final answer
    x = 6,538.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.