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Finding the Third Proportional to 10,230.74 and 13,748.31

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Solution

The third proportional to 10,230.74 and 13,748.31 is: 18,475.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.74 : 13,748.31 = 13,748.31 : x
  2. Step 2: Convert to fraction form
    10,230.74/13,748.31 = 13,748.31/x
  3. Step 3: Cross multiply
    10,230.74x = 13,748.31 × 13,748.31
  4. Step 4: Simplify right side
    10,230.74x = 189,015,928.77
  5. Step 5: Solve for x
    x = 189,015,928.77/10,230.74
  6. Step 6: Final answer
    x = 18,475.30

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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.