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Finding the Third Proportional to 13,646.81 and 30,042.56

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Solution

The third proportional to 13,646.81 and 30,042.56 is: 66,136.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646.81 : 30,042.56 = 30,042.56 : x
  2. Step 2: Convert to fraction form
    13,646.81/30,042.56 = 30,042.56/x
  3. Step 3: Cross multiply
    13,646.81x = 30,042.56 × 30,042.56
  4. Step 4: Simplify right side
    13,646.81x = 902,555,561.57
  5. Step 5: Solve for x
    x = 902,555,561.57/13,646.81
  6. Step 6: Final answer
    x = 66,136.73

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.