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Finding the Third Proportional to 49,432 and 74,064

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Solution

The third proportional to 49,432 and 74,064 is: 110,970.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,432 : 74,064 = 74,064 : x
  2. Step 2: Convert to fraction form
    49,432/74,064 = 74,064/x
  3. Step 3: Cross multiply
    49,432x = 74,064 × 74,064
  4. Step 4: Simplify right side
    49,432x = 5,485,476,096
  5. Step 5: Solve for x
    x = 5,485,476,096/49,432
  6. Step 6: Final answer
    x = 110,970.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.