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Finding the Third Proportional to 13,378.50 and 21,426.75

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Solution

The third proportional to 13,378.50 and 21,426.75 is: 34,316.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.50 : 21,426.75 = 21,426.75 : x
  2. Step 2: Convert to fraction form
    13,378.50/21,426.75 = 21,426.75/x
  3. Step 3: Cross multiply
    13,378.50x = 21,426.75 × 21,426.75
  4. Step 4: Simplify right side
    13,378.50x = 459,105,615.56
  5. Step 5: Solve for x
    x = 459,105,615.56/13,378.50
  6. Step 6: Final answer
    x = 34,316.67

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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.