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Finding the Third Proportional to 12,606 and 22,321.50

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Solution

The third proportional to 12,606 and 22,321.50 is: 39,524.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,606 : 22,321.50 = 22,321.50 : x
  2. Step 2: Convert to fraction form
    12,606/22,321.50 = 22,321.50/x
  3. Step 3: Cross multiply
    12,606x = 22,321.50 × 22,321.50
  4. Step 4: Simplify right side
    12,606x = 498,249,362.25
  5. Step 5: Solve for x
    x = 498,249,362.25/12,606
  6. Step 6: Final answer
    x = 39,524.78

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These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.