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Finding the Third Proportional to 8,643.38 and 13,759.88

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Solution

The third proportional to 8,643.38 and 13,759.88 is: 21,905.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.38 : 13,759.88 = 13,759.88 : x
  2. Step 2: Convert to fraction form
    8,643.38/13,759.88 = 13,759.88/x
  3. Step 3: Cross multiply
    8,643.38x = 13,759.88 × 13,759.88
  4. Step 4: Simplify right side
    8,643.38x = 189,334,160.02
  5. Step 5: Solve for x
    x = 189,334,160.02/8,643.38
  6. Step 6: Final answer
    x = 21,905.12

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