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Finding the Third Proportional to 13,829.06 and 21,284.44

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Solution

The third proportional to 13,829.06 and 21,284.44 is: 32,759.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,829.06 : 21,284.44 = 21,284.44 : x
  2. Step 2: Convert to fraction form
    13,829.06/21,284.44 = 21,284.44/x
  3. Step 3: Cross multiply
    13,829.06x = 21,284.44 × 21,284.44
  4. Step 4: Simplify right side
    13,829.06x = 453,027,279.69
  5. Step 5: Solve for x
    x = 453,027,279.69/13,829.06
  6. Step 6: Final answer
    x = 32,759.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.