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Finding the Third Proportional to 13,848.19 and 30,233.81

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Solution

The third proportional to 13,848.19 and 30,233.81 is: 66,007.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,848.19 : 30,233.81 = 30,233.81 : x
  2. Step 2: Convert to fraction form
    13,848.19/30,233.81 = 30,233.81/x
  3. Step 3: Cross multiply
    13,848.19x = 30,233.81 × 30,233.81
  4. Step 4: Simplify right side
    13,848.19x = 914,083,418.29
  5. Step 5: Solve for x
    x = 914,083,418.29/13,848.19
  6. Step 6: Final answer
    x = 66,007.44

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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.