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Finding the Third Proportional to 13,987.69 and 21,659.27

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Solution

The third proportional to 13,987.69 and 21,659.27 is: 33,538.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,987.69 : 21,659.27 = 21,659.27 : x
  2. Step 2: Convert to fraction form
    13,987.69/21,659.27 = 21,659.27/x
  3. Step 3: Cross multiply
    13,987.69x = 21,659.27 × 21,659.27
  4. Step 4: Simplify right side
    13,987.69x = 469,124,125.84
  5. Step 5: Solve for x
    x = 469,124,125.84/13,987.69
  6. Step 6: Final answer
    x = 33,538.36

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.