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Finding the Third Proportional to 4,291.31 and 8,299.13

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Solution

The third proportional to 4,291.31 and 8,299.13 is: 16,049.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291.31 : 8,299.13 = 8,299.13 : x
  2. Step 2: Convert to fraction form
    4,291.31/8,299.13 = 8,299.13/x
  3. Step 3: Cross multiply
    4,291.31x = 8,299.13 × 8,299.13
  4. Step 4: Simplify right side
    4,291.31x = 68,875,475.77
  5. Step 5: Solve for x
    x = 68,875,475.77/4,291.31
  6. Step 6: Final answer
    x = 16,049.98

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.