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Finding the Third Proportional to 12,664 and 19,052

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Solution

The third proportional to 12,664 and 19,052 is: 28,662.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,664 : 19,052 = 19,052 : x
  2. Step 2: Convert to fraction form
    12,664/19,052 = 19,052/x
  3. Step 3: Cross multiply
    12,664x = 19,052 × 19,052
  4. Step 4: Simplify right side
    12,664x = 362,978,704
  5. Step 5: Solve for x
    x = 362,978,704/12,664
  6. Step 6: Final answer
    x = 28,662.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.