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Finding the Third Proportional to 8,655.75 and 12,993.75

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Solution

The third proportional to 8,655.75 and 12,993.75 is: 19,505.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,655.75 : 12,993.75 = 12,993.75 : x
  2. Step 2: Convert to fraction form
    8,655.75/12,993.75 = 12,993.75/x
  3. Step 3: Cross multiply
    8,655.75x = 12,993.75 × 12,993.75
  4. Step 4: Simplify right side
    8,655.75x = 168,837,539.06
  5. Step 5: Solve for x
    x = 168,837,539.06/8,655.75
  6. Step 6: Final answer
    x = 19,505.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.