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Finding the Third Proportional to 7,213.50 and 10,654.50

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Solution

The third proportional to 7,213.50 and 10,654.50 is: 15,736.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.50 : 10,654.50 = 10,654.50 : x
  2. Step 2: Convert to fraction form
    7,213.50/10,654.50 = 10,654.50/x
  3. Step 3: Cross multiply
    7,213.50x = 10,654.50 × 10,654.50
  4. Step 4: Simplify right side
    7,213.50x = 113,518,370.25
  5. Step 5: Solve for x
    x = 113,518,370.25/7,213.50
  6. Step 6: Final answer
    x = 15,736.93

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.