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Finding the Third Proportional to 1,801.41 and 3,904.03

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Solution

The third proportional to 1,801.41 and 3,904.03 is: 8,460.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.41 : 3,904.03 = 3,904.03 : x
  2. Step 2: Convert to fraction form
    1,801.41/3,904.03 = 3,904.03/x
  3. Step 3: Cross multiply
    1,801.41x = 3,904.03 × 3,904.03
  4. Step 4: Simplify right side
    1,801.41x = 15,241,460.00
  5. Step 5: Solve for x
    x = 15,241,460.00/1,801.41
  6. Step 6: Final answer
    x = 8,460.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.