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Finding the Third Proportional to 5,731.88 and 11,820.66

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Solution

The third proportional to 5,731.88 and 11,820.66 is: 24,377.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.88 : 11,820.66 = 11,820.66 : x
  2. Step 2: Convert to fraction form
    5,731.88/11,820.66 = 11,820.66/x
  3. Step 3: Cross multiply
    5,731.88x = 11,820.66 × 11,820.66
  4. Step 4: Simplify right side
    5,731.88x = 139,727,914.18
  5. Step 5: Solve for x
    x = 139,727,914.18/5,731.88
  6. Step 6: Final answer
    x = 24,377.35

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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.