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Finding the Third Proportional to 13,759.88 and 21,220.73

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Solution

The third proportional to 13,759.88 and 21,220.73 is: 32,727.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,759.88 : 21,220.73 = 21,220.73 : x
  2. Step 2: Convert to fraction form
    13,759.88/21,220.73 = 21,220.73/x
  3. Step 3: Cross multiply
    13,759.88x = 21,220.73 × 21,220.73
  4. Step 4: Simplify right side
    13,759.88x = 450,319,567.41
  5. Step 5: Solve for x
    x = 450,319,567.41/13,759.88
  6. Step 6: Final answer
    x = 32,727.01

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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.