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Finding the Third Proportional to 8,093.04 and 11,829.16

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Solution

The third proportional to 8,093.04 and 11,829.16 is: 17,290.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.04 : 11,829.16 = 11,829.16 : x
  2. Step 2: Convert to fraction form
    8,093.04/11,829.16 = 11,829.16/x
  3. Step 3: Cross multiply
    8,093.04x = 11,829.16 × 11,829.16
  4. Step 4: Simplify right side
    8,093.04x = 139,929,122.42
  5. Step 5: Solve for x
    x = 139,929,122.42/8,093.04
  6. Step 6: Final answer
    x = 17,290.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.