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Finding the Third Proportional to 5,297.50 and 11,654.50

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Solution

The third proportional to 5,297.50 and 11,654.50 is: 25,639.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.50 : 11,654.50 = 11,654.50 : x
  2. Step 2: Convert to fraction form
    5,297.50/11,654.50 = 11,654.50/x
  3. Step 3: Cross multiply
    5,297.50x = 11,654.50 × 11,654.50
  4. Step 4: Simplify right side
    5,297.50x = 135,827,370.25
  5. Step 5: Solve for x
    x = 135,827,370.25/5,297.50
  6. Step 6: Final answer
    x = 25,639.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.