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Finding the Third Proportional to 8,002.13 and 11,486.81

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Solution

The third proportional to 8,002.13 and 11,486.81 is: 16,488.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.13 : 11,486.81 = 11,486.81 : x
  2. Step 2: Convert to fraction form
    8,002.13/11,486.81 = 11,486.81/x
  3. Step 3: Cross multiply
    8,002.13x = 11,486.81 × 11,486.81
  4. Step 4: Simplify right side
    8,002.13x = 131,946,861.41
  5. Step 5: Solve for x
    x = 131,946,861.41/8,002.13
  6. Step 6: Final answer
    x = 16,488.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.