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Finding the Third Proportional to 18,972 and 40,414

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Solution

The third proportional to 18,972 and 40,414 is: 86,089.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,972 : 40,414 = 40,414 : x
  2. Step 2: Convert to fraction form
    18,972/40,414 = 40,414/x
  3. Step 3: Cross multiply
    18,972x = 40,414 × 40,414
  4. Step 4: Simplify right side
    18,972x = 1,633,291,396
  5. Step 5: Solve for x
    x = 1,633,291,396/18,972
  6. Step 6: Final answer
    x = 86,089.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.