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Finding the Third Proportional to 13,707 and 30,269.25

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Solution

The third proportional to 13,707 and 30,269.25 is: 66,843.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707 : 30,269.25 = 30,269.25 : x
  2. Step 2: Convert to fraction form
    13,707/30,269.25 = 30,269.25/x
  3. Step 3: Cross multiply
    13,707x = 30,269.25 × 30,269.25
  4. Step 4: Simplify right side
    13,707x = 916,227,495.56
  5. Step 5: Solve for x
    x = 916,227,495.56/13,707
  6. Step 6: Final answer
    x = 66,843.77

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.