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Finding the Third Proportional to 1,825.03 and 4,274.02

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Solution

The third proportional to 1,825.03 and 4,274.02 is: 10,009.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.03 : 4,274.02 = 4,274.02 : x
  2. Step 2: Convert to fraction form
    1,825.03/4,274.02 = 4,274.02/x
  3. Step 3: Cross multiply
    1,825.03x = 4,274.02 × 4,274.02
  4. Step 4: Simplify right side
    1,825.03x = 18,267,209.56
  5. Step 5: Solve for x
    x = 18,267,209.56/1,825.03
  6. Step 6: Final answer
    x = 10,009.26

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.