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Finding the Third Proportional to 4,111.03 and 9,042.14

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Solution

The third proportional to 4,111.03 and 9,042.14 is: 19,888.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,111.03 : 9,042.14 = 9,042.14 : x
  2. Step 2: Convert to fraction form
    4,111.03/9,042.14 = 9,042.14/x
  3. Step 3: Cross multiply
    4,111.03x = 9,042.14 × 9,042.14
  4. Step 4: Simplify right side
    4,111.03x = 81,760,307.08
  5. Step 5: Solve for x
    x = 81,760,307.08/4,111.03
  6. Step 6: Final answer
    x = 19,888.03

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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.