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Finding the Third Proportional to 2,450.88 and 5,294.74

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Solution

The third proportional to 2,450.88 and 5,294.74 is: 11,438.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.88 : 5,294.74 = 5,294.74 : x
  2. Step 2: Convert to fraction form
    2,450.88/5,294.74 = 5,294.74/x
  3. Step 3: Cross multiply
    2,450.88x = 5,294.74 × 5,294.74
  4. Step 4: Simplify right side
    2,450.88x = 28,034,294.83
  5. Step 5: Solve for x
    x = 28,034,294.83/2,450.88
  6. Step 6: Final answer
    x = 11,438.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.