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Finding the Third Proportional to 13,494.09 and 21,351.09

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Solution

The third proportional to 13,494.09 and 21,351.09 is: 33,782.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494.09 : 21,351.09 = 21,351.09 : x
  2. Step 2: Convert to fraction form
    13,494.09/21,351.09 = 21,351.09/x
  3. Step 3: Cross multiply
    13,494.09x = 21,351.09 × 21,351.09
  4. Step 4: Simplify right side
    13,494.09x = 455,869,204.32
  5. Step 5: Solve for x
    x = 455,869,204.32/13,494.09
  6. Step 6: Final answer
    x = 33,782.87

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.