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Finding the Third Proportional to 16,988 and 37,431

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Solution

The third proportional to 16,988 and 37,431 is: 82,474.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,988 : 37,431 = 37,431 : x
  2. Step 2: Convert to fraction form
    16,988/37,431 = 37,431/x
  3. Step 3: Cross multiply
    16,988x = 37,431 × 37,431
  4. Step 4: Simplify right side
    16,988x = 1,401,079,761
  5. Step 5: Solve for x
    x = 1,401,079,761/16,988
  6. Step 6: Final answer
    x = 82,474.67

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.