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Finding the Third Proportional to 5,644.59 and 8,385.19

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Solution

The third proportional to 5,644.59 and 8,385.19 is: 12,456.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.59 : 8,385.19 = 8,385.19 : x
  2. Step 2: Convert to fraction form
    5,644.59/8,385.19 = 8,385.19/x
  3. Step 3: Cross multiply
    5,644.59x = 8,385.19 × 8,385.19
  4. Step 4: Simplify right side
    5,644.59x = 70,311,369.41
  5. Step 5: Solve for x
    x = 70,311,369.41/5,644.59
  6. Step 6: Final answer
    x = 12,456.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.