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Finding the Third Proportional to 2,333.16 and 4,882.41

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Solution

The third proportional to 2,333.16 and 4,882.41 is: 10,217.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.16 : 4,882.41 = 4,882.41 : x
  2. Step 2: Convert to fraction form
    2,333.16/4,882.41 = 4,882.41/x
  3. Step 3: Cross multiply
    2,333.16x = 4,882.41 × 4,882.41
  4. Step 4: Simplify right side
    2,333.16x = 23,837,890.79
  5. Step 5: Solve for x
    x = 23,837,890.79/2,333.16
  6. Step 6: Final answer
    x = 10,217.01

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.