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Finding the Third Proportional to 30,447.14 and 47,829.23

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Solution

The third proportional to 30,447.14 and 47,829.23 is: 75,134.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,447.14 : 47,829.23 = 47,829.23 : x
  2. Step 2: Convert to fraction form
    30,447.14/47,829.23 = 47,829.23/x
  3. Step 3: Cross multiply
    30,447.14x = 47,829.23 × 47,829.23
  4. Step 4: Simplify right side
    30,447.14x = 2,287,635,660.90
  5. Step 5: Solve for x
    x = 2,287,635,660.90/30,447.14
  6. Step 6: Final answer
    x = 75,134.66

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.