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Finding the Third Proportional to 6,385.13 and 9,586.41

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Solution

The third proportional to 6,385.13 and 9,586.41 is: 14,392.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.13 : 9,586.41 = 9,586.41 : x
  2. Step 2: Convert to fraction form
    6,385.13/9,586.41 = 9,586.41/x
  3. Step 3: Cross multiply
    6,385.13x = 9,586.41 × 9,586.41
  4. Step 4: Simplify right side
    6,385.13x = 91,899,184.79
  5. Step 5: Solve for x
    x = 91,899,184.79/6,385.13
  6. Step 6: Final answer
    x = 14,392.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.