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Finding the Third Proportional to 13,482.94 and 21,104.67

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Solution

The third proportional to 13,482.94 and 21,104.67 is: 33,034.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,482.94 : 21,104.67 = 21,104.67 : x
  2. Step 2: Convert to fraction form
    13,482.94/21,104.67 = 21,104.67/x
  3. Step 3: Cross multiply
    13,482.94x = 21,104.67 × 21,104.67
  4. Step 4: Simplify right side
    13,482.94x = 445,407,174.95
  5. Step 5: Solve for x
    x = 445,407,174.95/13,482.94
  6. Step 6: Final answer
    x = 33,034.88

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.