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Finding the Third Proportional to 13,239.75 and 18,657.75

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Solution

The third proportional to 13,239.75 and 18,657.75 is: 26,292.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,239.75 : 18,657.75 = 18,657.75 : x
  2. Step 2: Convert to fraction form
    13,239.75/18,657.75 = 18,657.75/x
  3. Step 3: Cross multiply
    13,239.75x = 18,657.75 × 18,657.75
  4. Step 4: Simplify right side
    13,239.75x = 348,111,635.06
  5. Step 5: Solve for x
    x = 348,111,635.06/13,239.75
  6. Step 6: Final answer
    x = 26,292.92

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.