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Finding the Third Proportional to 13,943.81 and 30,425.63

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Solution

The third proportional to 13,943.81 and 30,425.63 is: 66,389.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,943.81 : 30,425.63 = 30,425.63 : x
  2. Step 2: Convert to fraction form
    13,943.81/30,425.63 = 30,425.63/x
  3. Step 3: Cross multiply
    13,943.81x = 30,425.63 × 30,425.63
  4. Step 4: Simplify right side
    13,943.81x = 925,718,656.64
  5. Step 5: Solve for x
    x = 925,718,656.64/13,943.81
  6. Step 6: Final answer
    x = 66,389.21

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.