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Finding the Third Proportional to 18,414 and 38,970

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Solution

The third proportional to 18,414 and 38,970 is: 82,473.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,414 : 38,970 = 38,970 : x
  2. Step 2: Convert to fraction form
    18,414/38,970 = 38,970/x
  3. Step 3: Cross multiply
    18,414x = 38,970 × 38,970
  4. Step 4: Simplify right side
    18,414x = 1,518,660,900
  5. Step 5: Solve for x
    x = 1,518,660,900/18,414
  6. Step 6: Final answer
    x = 82,473.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.