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Finding the Third Proportional to 13,400.44 and 21,251.53

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Solution

The third proportional to 13,400.44 and 21,251.53 is: 33,702.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400.44 : 21,251.53 = 21,251.53 : x
  2. Step 2: Convert to fraction form
    13,400.44/21,251.53 = 21,251.53/x
  3. Step 3: Cross multiply
    13,400.44x = 21,251.53 × 21,251.53
  4. Step 4: Simplify right side
    13,400.44x = 451,627,580.47
  5. Step 5: Solve for x
    x = 451,627,580.47/13,400.44
  6. Step 6: Final answer
    x = 33,702.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.