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Finding the Third Proportional to 13,114 and 19,974

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Solution

The third proportional to 13,114 and 19,974 is: 30,422.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114 : 19,974 = 19,974 : x
  2. Step 2: Convert to fraction form
    13,114/19,974 = 19,974/x
  3. Step 3: Cross multiply
    13,114x = 19,974 × 19,974
  4. Step 4: Simplify right side
    13,114x = 398,960,676
  5. Step 5: Solve for x
    x = 398,960,676/13,114
  6. Step 6: Final answer
    x = 30,422.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.