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Finding the Third Proportional to 13,724.81 and 18,643.13

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Solution

The third proportional to 13,724.81 and 18,643.13 is: 25,323.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,724.81 : 18,643.13 = 18,643.13 : x
  2. Step 2: Convert to fraction form
    13,724.81/18,643.13 = 18,643.13/x
  3. Step 3: Cross multiply
    13,724.81x = 18,643.13 × 18,643.13
  4. Step 4: Simplify right side
    13,724.81x = 347,566,109.77
  5. Step 5: Solve for x
    x = 347,566,109.77/13,724.81
  6. Step 6: Final answer
    x = 25,323.92

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.