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Finding the Third Proportional to 5,507.86 and 11,643.61

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Solution

The third proportional to 5,507.86 and 11,643.61 is: 24,614.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,507.86 : 11,643.61 = 11,643.61 : x
  2. Step 2: Convert to fraction form
    5,507.86/11,643.61 = 11,643.61/x
  3. Step 3: Cross multiply
    5,507.86x = 11,643.61 × 11,643.61
  4. Step 4: Simplify right side
    5,507.86x = 135,573,639.28
  5. Step 5: Solve for x
    x = 135,573,639.28/5,507.86
  6. Step 6: Final answer
    x = 24,614.58

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.