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Finding the Third Proportional to 17,944 and 38,630

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Solution

The third proportional to 17,944 and 38,630 is: 83,163.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,944 : 38,630 = 38,630 : x
  2. Step 2: Convert to fraction form
    17,944/38,630 = 38,630/x
  3. Step 3: Cross multiply
    17,944x = 38,630 × 38,630
  4. Step 4: Simplify right side
    17,944x = 1,492,276,900
  5. Step 5: Solve for x
    x = 1,492,276,900/17,944
  6. Step 6: Final answer
    x = 83,163.00

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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.