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Finding the Third Proportional to 8,014.73 and 17,538.71

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Solution

The third proportional to 8,014.73 and 17,538.71 is: 38,380.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,014.73 : 17,538.71 = 17,538.71 : x
  2. Step 2: Convert to fraction form
    8,014.73/17,538.71 = 17,538.71/x
  3. Step 3: Cross multiply
    8,014.73x = 17,538.71 × 17,538.71
  4. Step 4: Simplify right side
    8,014.73x = 307,606,518.37
  5. Step 5: Solve for x
    x = 307,606,518.37/8,014.73
  6. Step 6: Final answer
    x = 38,380.15

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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.