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Finding the Third Proportional to 13,537.13 and 21,844.69

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Solution

The third proportional to 13,537.13 and 21,844.69 is: 35,250.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537.13 : 21,844.69 = 21,844.69 : x
  2. Step 2: Convert to fraction form
    13,537.13/21,844.69 = 21,844.69/x
  3. Step 3: Cross multiply
    13,537.13x = 21,844.69 × 21,844.69
  4. Step 4: Simplify right side
    13,537.13x = 477,190,371.97
  5. Step 5: Solve for x
    x = 477,190,371.97/13,537.13
  6. Step 6: Final answer
    x = 35,250.50

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.