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Finding the Third Proportional to 13,848.56 and 30,234.56

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Solution

The third proportional to 13,848.56 and 30,234.56 is: 66,008.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,848.56 : 30,234.56 = 30,234.56 : x
  2. Step 2: Convert to fraction form
    13,848.56/30,234.56 = 30,234.56/x
  3. Step 3: Cross multiply
    13,848.56x = 30,234.56 × 30,234.56
  4. Step 4: Simplify right side
    13,848.56x = 914,128,769.57
  5. Step 5: Solve for x
    x = 914,128,769.57/13,848.56
  6. Step 6: Final answer
    x = 66,008.93

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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.