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Finding the Third Proportional to 29,463.75 and 47,035.69

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Solution

The third proportional to 29,463.75 and 47,035.69 is: 75,087.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,463.75 : 47,035.69 = 47,035.69 : x
  2. Step 2: Convert to fraction form
    29,463.75/47,035.69 = 47,035.69/x
  3. Step 3: Cross multiply
    29,463.75x = 47,035.69 × 47,035.69
  4. Step 4: Simplify right side
    29,463.75x = 2,212,355,898.60
  5. Step 5: Solve for x
    x = 2,212,355,898.60/29,463.75
  6. Step 6: Final answer
    x = 75,087.38

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.