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Finding the Third Proportional to 13,608 and 19,979.16

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Solution

The third proportional to 13,608 and 19,979.16 is: 29,333.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,608 : 19,979.16 = 19,979.16 : x
  2. Step 2: Convert to fraction form
    13,608/19,979.16 = 19,979.16/x
  3. Step 3: Cross multiply
    13,608x = 19,979.16 × 19,979.16
  4. Step 4: Simplify right side
    13,608x = 399,166,684.46
  5. Step 5: Solve for x
    x = 399,166,684.46/13,608
  6. Step 6: Final answer
    x = 29,333.24

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.