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Finding the Third Proportional to 6,054.47 and 12,841.86

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Solution

The third proportional to 6,054.47 and 12,841.86 is: 27,238.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,054.47 : 12,841.86 = 12,841.86 : x
  2. Step 2: Convert to fraction form
    6,054.47/12,841.86 = 12,841.86/x
  3. Step 3: Cross multiply
    6,054.47x = 12,841.86 × 12,841.86
  4. Step 4: Simplify right side
    6,054.47x = 164,913,414.91
  5. Step 5: Solve for x
    x = 164,913,414.91/6,054.47
  6. Step 6: Final answer
    x = 27,238.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.