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Finding the Third Proportional to 2,300.91 and 4,294.27

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Solution

The third proportional to 2,300.91 and 4,294.27 is: 8,014.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.91 : 4,294.27 = 4,294.27 : x
  2. Step 2: Convert to fraction form
    2,300.91/4,294.27 = 4,294.27/x
  3. Step 3: Cross multiply
    2,300.91x = 4,294.27 × 4,294.27
  4. Step 4: Simplify right side
    2,300.91x = 18,440,717.26
  5. Step 5: Solve for x
    x = 18,440,717.26/2,300.91
  6. Step 6: Final answer
    x = 8,014.55

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.