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Finding the Third Proportional to 12,462.19 and 26,881.03

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Solution

The third proportional to 12,462.19 and 26,881.03 is: 57,982.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,462.19 : 26,881.03 = 26,881.03 : x
  2. Step 2: Convert to fraction form
    12,462.19/26,881.03 = 26,881.03/x
  3. Step 3: Cross multiply
    12,462.19x = 26,881.03 × 26,881.03
  4. Step 4: Simplify right side
    12,462.19x = 722,589,841.06
  5. Step 5: Solve for x
    x = 722,589,841.06/12,462.19
  6. Step 6: Final answer
    x = 57,982.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.