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Finding the Third Proportional to 4,263.47 and 9,227.53

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Solution

The third proportional to 4,263.47 and 9,227.53 is: 19,971.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,263.47 : 9,227.53 = 9,227.53 : x
  2. Step 2: Convert to fraction form
    4,263.47/9,227.53 = 9,227.53/x
  3. Step 3: Cross multiply
    4,263.47x = 9,227.53 × 9,227.53
  4. Step 4: Simplify right side
    4,263.47x = 85,147,332.97
  5. Step 5: Solve for x
    x = 85,147,332.97/4,263.47
  6. Step 6: Final answer
    x = 19,971.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.