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Finding the Third Proportional to 7,252.03 and 14,704.03

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Solution

The third proportional to 7,252.03 and 14,704.03 is: 29,813.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,252.03 : 14,704.03 = 14,704.03 : x
  2. Step 2: Convert to fraction form
    7,252.03/14,704.03 = 14,704.03/x
  3. Step 3: Cross multiply
    7,252.03x = 14,704.03 × 14,704.03
  4. Step 4: Simplify right side
    7,252.03x = 216,208,535.00
  5. Step 5: Solve for x
    x = 216,208,535.00/7,252.03
  6. Step 6: Final answer
    x = 29,813.51

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.