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Finding the Third Proportional to 30,629 and 49,143

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Solution

The third proportional to 30,629 and 49,143 is: 78,847.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,629 : 49,143 = 49,143 : x
  2. Step 2: Convert to fraction form
    30,629/49,143 = 49,143/x
  3. Step 3: Cross multiply
    30,629x = 49,143 × 49,143
  4. Step 4: Simplify right side
    30,629x = 2,415,034,449
  5. Step 5: Solve for x
    x = 2,415,034,449/30,629
  6. Step 6: Final answer
    x = 78,847.97

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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.