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Finding the Third Proportional to 8,002.13 and 16,516.13

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Solution

The third proportional to 8,002.13 and 16,516.13 is: 34,088.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.13 : 16,516.13 = 16,516.13 : x
  2. Step 2: Convert to fraction form
    8,002.13/16,516.13 = 16,516.13/x
  3. Step 3: Cross multiply
    8,002.13x = 16,516.13 × 16,516.13
  4. Step 4: Simplify right side
    8,002.13x = 272,782,385.02
  5. Step 5: Solve for x
    x = 272,782,385.02/8,002.13
  6. Step 6: Final answer
    x = 34,088.74

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.