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Finding the Third Proportional to 4,096.41 and 8,790.19

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Solution

The third proportional to 4,096.41 and 8,790.19 is: 18,862.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.41 : 8,790.19 = 8,790.19 : x
  2. Step 2: Convert to fraction form
    4,096.41/8,790.19 = 8,790.19/x
  3. Step 3: Cross multiply
    4,096.41x = 8,790.19 × 8,790.19
  4. Step 4: Simplify right side
    4,096.41x = 77,267,396.29
  5. Step 5: Solve for x
    x = 77,267,396.29/4,096.41
  6. Step 6: Final answer
    x = 18,862.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.