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Finding the Third Proportional to 13,971.66 and 27,240.47

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Solution

The third proportional to 13,971.66 and 27,240.47 is: 53,110.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,971.66 : 27,240.47 = 27,240.47 : x
  2. Step 2: Convert to fraction form
    13,971.66/27,240.47 = 27,240.47/x
  3. Step 3: Cross multiply
    13,971.66x = 27,240.47 × 27,240.47
  4. Step 4: Simplify right side
    13,971.66x = 742,043,137.72
  5. Step 5: Solve for x
    x = 742,043,137.72/13,971.66
  6. Step 6: Final answer
    x = 53,110.61

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.