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Finding the Third Proportional to 1,948.78 and 4,174.03

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Solution

The third proportional to 1,948.78 and 4,174.03 is: 8,940.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.78 : 4,174.03 = 4,174.03 : x
  2. Step 2: Convert to fraction form
    1,948.78/4,174.03 = 4,174.03/x
  3. Step 3: Cross multiply
    1,948.78x = 4,174.03 × 4,174.03
  4. Step 4: Simplify right side
    1,948.78x = 17,422,536.88
  5. Step 5: Solve for x
    x = 17,422,536.88/1,948.78
  6. Step 6: Final answer
    x = 8,940.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.