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Finding the Third Proportional to 13,654.13 and 18,348.56

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Solution

The third proportional to 13,654.13 and 18,348.56 is: 24,657.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,654.13 : 18,348.56 = 18,348.56 : x
  2. Step 2: Convert to fraction form
    13,654.13/18,348.56 = 18,348.56/x
  3. Step 3: Cross multiply
    13,654.13x = 18,348.56 × 18,348.56
  4. Step 4: Simplify right side
    13,654.13x = 336,669,745.82
  5. Step 5: Solve for x
    x = 336,669,745.82/13,654.13
  6. Step 6: Final answer
    x = 24,657.00

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.