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Finding the Third Proportional to 21,408.75 and 34,188.75

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Solution

The third proportional to 21,408.75 and 34,188.75 is: 54,597.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,408.75 : 34,188.75 = 34,188.75 : x
  2. Step 2: Convert to fraction form
    21,408.75/34,188.75 = 34,188.75/x
  3. Step 3: Cross multiply
    21,408.75x = 34,188.75 × 34,188.75
  4. Step 4: Simplify right side
    21,408.75x = 1,168,870,626.56
  5. Step 5: Solve for x
    x = 1,168,870,626.56/21,408.75
  6. Step 6: Final answer
    x = 54,597.80

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.