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Finding the Third Proportional to 6,699.38 and 14,735.25

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Solution

The third proportional to 6,699.38 and 14,735.25 is: 32,410.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,699.38 : 14,735.25 = 14,735.25 : x
  2. Step 2: Convert to fraction form
    6,699.38/14,735.25 = 14,735.25/x
  3. Step 3: Cross multiply
    6,699.38x = 14,735.25 × 14,735.25
  4. Step 4: Simplify right side
    6,699.38x = 217,127,592.56
  5. Step 5: Solve for x
    x = 217,127,592.56/6,699.38
  6. Step 6: Final answer
    x = 32,410.13

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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.