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Finding the Third Proportional to 1,906.03 and 4,200.29

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Solution

The third proportional to 1,906.03 and 4,200.29 is: 9,256.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,906.03 : 4,200.29 = 4,200.29 : x
  2. Step 2: Convert to fraction form
    1,906.03/4,200.29 = 4,200.29/x
  3. Step 3: Cross multiply
    1,906.03x = 4,200.29 × 4,200.29
  4. Step 4: Simplify right side
    1,906.03x = 17,642,461.02
  5. Step 5: Solve for x
    x = 17,642,461.02/1,906.03
  6. Step 6: Final answer
    x = 9,256.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.