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Finding the Third Proportional to 13,695 and 30,090

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Solution

The third proportional to 13,695 and 30,090 is: 66,112.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,695 : 30,090 = 30,090 : x
  2. Step 2: Convert to fraction form
    13,695/30,090 = 30,090/x
  3. Step 3: Cross multiply
    13,695x = 30,090 × 30,090
  4. Step 4: Simplify right side
    13,695x = 905,408,100
  5. Step 5: Solve for x
    x = 905,408,100/13,695
  6. Step 6: Final answer
    x = 66,112.31

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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.