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Finding the Third Proportional to 2,885.86 and 6,233.04

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Solution

The third proportional to 2,885.86 and 6,233.04 is: 13,462.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.86 : 6,233.04 = 6,233.04 : x
  2. Step 2: Convert to fraction form
    2,885.86/6,233.04 = 6,233.04/x
  3. Step 3: Cross multiply
    2,885.86x = 6,233.04 × 6,233.04
  4. Step 4: Simplify right side
    2,885.86x = 38,850,849.00
  5. Step 5: Solve for x
    x = 38,850,849.00/2,885.86
  6. Step 6: Final answer
    x = 13,462.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.