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Finding the Third Proportional to 7,004.81 and 14,936.06

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Solution

The third proportional to 7,004.81 and 14,936.06 is: 31,847.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,004.81 : 14,936.06 = 14,936.06 : x
  2. Step 2: Convert to fraction form
    7,004.81/14,936.06 = 14,936.06/x
  3. Step 3: Cross multiply
    7,004.81x = 14,936.06 × 14,936.06
  4. Step 4: Simplify right side
    7,004.81x = 223,085,963.00
  5. Step 5: Solve for x
    x = 223,085,963.00/7,004.81
  6. Step 6: Final answer
    x = 31,847.53

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.