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Finding the Third Proportional to 6,735.66 and 14,952.09

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Solution

The third proportional to 6,735.66 and 14,952.09 is: 33,191.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.66 : 14,952.09 = 14,952.09 : x
  2. Step 2: Convert to fraction form
    6,735.66/14,952.09 = 14,952.09/x
  3. Step 3: Cross multiply
    6,735.66x = 14,952.09 × 14,952.09
  4. Step 4: Simplify right side
    6,735.66x = 223,565,107.51
  5. Step 5: Solve for x
    x = 223,565,107.51/6,735.66
  6. Step 6: Final answer
    x = 33,191.29

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.