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Finding the Third Proportional to 6,972 and 12,418.50

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Solution

The third proportional to 6,972 and 12,418.50 is: 22,119.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972 : 12,418.50 = 12,418.50 : x
  2. Step 2: Convert to fraction form
    6,972/12,418.50 = 12,418.50/x
  3. Step 3: Cross multiply
    6,972x = 12,418.50 × 12,418.50
  4. Step 4: Simplify right side
    6,972x = 154,219,142.25
  5. Step 5: Solve for x
    x = 154,219,142.25/6,972
  6. Step 6: Final answer
    x = 22,119.79

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.