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Finding the Third Proportional to 16,143 and 34,761

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Solution

The third proportional to 16,143 and 34,761 is: 74,851.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,143 : 34,761 = 34,761 : x
  2. Step 2: Convert to fraction form
    16,143/34,761 = 34,761/x
  3. Step 3: Cross multiply
    16,143x = 34,761 × 34,761
  4. Step 4: Simplify right side
    16,143x = 1,208,327,121
  5. Step 5: Solve for x
    x = 1,208,327,121/16,143
  6. Step 6: Final answer
    x = 74,851.46

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.