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Finding the Third Proportional to 6,246.38 and 13,594.13

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Solution

The third proportional to 6,246.38 and 13,594.13 is: 29,585.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,246.38 : 13,594.13 = 13,594.13 : x
  2. Step 2: Convert to fraction form
    6,246.38/13,594.13 = 13,594.13/x
  3. Step 3: Cross multiply
    6,246.38x = 13,594.13 × 13,594.13
  4. Step 4: Simplify right side
    6,246.38x = 184,800,234.52
  5. Step 5: Solve for x
    x = 184,800,234.52/6,246.38
  6. Step 6: Final answer
    x = 29,585.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.