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Finding the Third Proportional to 13,648.50 and 30,449.25

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Solution

The third proportional to 13,648.50 and 30,449.25 is: 67,931.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.50 : 30,449.25 = 30,449.25 : x
  2. Step 2: Convert to fraction form
    13,648.50/30,449.25 = 30,449.25/x
  3. Step 3: Cross multiply
    13,648.50x = 30,449.25 × 30,449.25
  4. Step 4: Simplify right side
    13,648.50x = 927,156,825.56
  5. Step 5: Solve for x
    x = 927,156,825.56/13,648.50
  6. Step 6: Final answer
    x = 67,931.04

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.