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Finding the Third Proportional to 13,504.22 and 31,395.09

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Solution

The third proportional to 13,504.22 and 31,395.09 is: 72,988.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,504.22 : 31,395.09 = 31,395.09 : x
  2. Step 2: Convert to fraction form
    13,504.22/31,395.09 = 31,395.09/x
  3. Step 3: Cross multiply
    13,504.22x = 31,395.09 × 31,395.09
  4. Step 4: Simplify right side
    13,504.22x = 985,651,911.57
  5. Step 5: Solve for x
    x = 985,651,911.57/13,504.22
  6. Step 6: Final answer
    x = 72,988.44

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.