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Finding the Third Proportional to 30,643.31 and 47,349.56

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Solution

The third proportional to 30,643.31 and 47,349.56 is: 73,163.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,643.31 : 47,349.56 = 47,349.56 : x
  2. Step 2: Convert to fraction form
    30,643.31/47,349.56 = 47,349.56/x
  3. Step 3: Cross multiply
    30,643.31x = 47,349.56 × 47,349.56
  4. Step 4: Simplify right side
    30,643.31x = 2,241,981,068.94
  5. Step 5: Solve for x
    x = 2,241,981,068.94/30,643.31
  6. Step 6: Final answer
    x = 73,163.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.