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Finding the Third Proportional to 6,394.73 and 15,074.23

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Solution

The third proportional to 6,394.73 and 15,074.23 is: 35,534.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.73 : 15,074.23 = 15,074.23 : x
  2. Step 2: Convert to fraction form
    6,394.73/15,074.23 = 15,074.23/x
  3. Step 3: Cross multiply
    6,394.73x = 15,074.23 × 15,074.23
  4. Step 4: Simplify right side
    6,394.73x = 227,232,306.46
  5. Step 5: Solve for x
    x = 227,232,306.46/6,394.73
  6. Step 6: Final answer
    x = 35,534.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.