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Finding the Third Proportional to 2,442.94 and 5,108.06

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Solution

The third proportional to 2,442.94 and 5,108.06 is: 10,680.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.94 : 5,108.06 = 5,108.06 : x
  2. Step 2: Convert to fraction form
    2,442.94/5,108.06 = 5,108.06/x
  3. Step 3: Cross multiply
    2,442.94x = 5,108.06 × 5,108.06
  4. Step 4: Simplify right side
    2,442.94x = 26,092,302.50
  5. Step 5: Solve for x
    x = 26,092,302.50/2,442.94
  6. Step 6: Final answer
    x = 10,680.71

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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.