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Finding the Third Proportional to 2,133.84 and 4,687.88

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Solution

The third proportional to 2,133.84 and 4,687.88 is: 10,298.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.84 : 4,687.88 = 4,687.88 : x
  2. Step 2: Convert to fraction form
    2,133.84/4,687.88 = 4,687.88/x
  3. Step 3: Cross multiply
    2,133.84x = 4,687.88 × 4,687.88
  4. Step 4: Simplify right side
    2,133.84x = 21,976,172.02
  5. Step 5: Solve for x
    x = 21,976,172.02/2,133.84
  6. Step 6: Final answer
    x = 10,298.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.