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Finding the Third Proportional to 1,420.03 and 3,704.06

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Solution

The third proportional to 1,420.03 and 3,704.06 is: 9,661.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.03 : 3,704.06 = 3,704.06 : x
  2. Step 2: Convert to fraction form
    1,420.03/3,704.06 = 3,704.06/x
  3. Step 3: Cross multiply
    1,420.03x = 3,704.06 × 3,704.06
  4. Step 4: Simplify right side
    1,420.03x = 13,720,079.00
  5. Step 5: Solve for x
    x = 13,720,079.00/1,420.03
  6. Step 6: Final answer
    x = 9,661.81

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.