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Finding the Third Proportional to 4,126.31 and 9,035.63

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Solution

The third proportional to 4,126.31 and 9,035.63 is: 19,785.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,126.31 : 9,035.63 = 9,035.63 : x
  2. Step 2: Convert to fraction form
    4,126.31/9,035.63 = 9,035.63/x
  3. Step 3: Cross multiply
    4,126.31x = 9,035.63 × 9,035.63
  4. Step 4: Simplify right side
    4,126.31x = 81,642,519.14
  5. Step 5: Solve for x
    x = 81,642,519.14/4,126.31
  6. Step 6: Final answer
    x = 19,785.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.