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Finding the Third Proportional to 7,002.75 and 14,654.75

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Solution

The third proportional to 7,002.75 and 14,654.75 is: 30,668.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.75 : 14,654.75 = 14,654.75 : x
  2. Step 2: Convert to fraction form
    7,002.75/14,654.75 = 14,654.75/x
  3. Step 3: Cross multiply
    7,002.75x = 14,654.75 × 14,654.75
  4. Step 4: Simplify right side
    7,002.75x = 214,761,697.56
  5. Step 5: Solve for x
    x = 214,761,697.56/7,002.75
  6. Step 6: Final answer
    x = 30,668.19

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.