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Finding the Third Proportional to 16,983.42 and 37,247.34

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Solution

The third proportional to 16,983.42 and 37,247.34 is: 81,689.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,983.42 : 37,247.34 = 37,247.34 : x
  2. Step 2: Convert to fraction form
    16,983.42/37,247.34 = 37,247.34/x
  3. Step 3: Cross multiply
    16,983.42x = 37,247.34 × 37,247.34
  4. Step 4: Simplify right side
    16,983.42x = 1,387,364,616.43
  5. Step 5: Solve for x
    x = 1,387,364,616.43/16,983.42
  6. Step 6: Final answer
    x = 81,689.35

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.