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Finding the Third Proportional to 1,593.84 and 3,868.17

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Solution

The third proportional to 1,593.84 and 3,868.17 is: 9,387.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.84 : 3,868.17 = 3,868.17 : x
  2. Step 2: Convert to fraction form
    1,593.84/3,868.17 = 3,868.17/x
  3. Step 3: Cross multiply
    1,593.84x = 3,868.17 × 3,868.17
  4. Step 4: Simplify right side
    1,593.84x = 14,962,753.65
  5. Step 5: Solve for x
    x = 14,962,753.65/1,593.84
  6. Step 6: Final answer
    x = 9,387.84

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These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.