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Finding the Third Proportional to 12,780 and 19,172

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Solution

The third proportional to 12,780 and 19,172 is: 28,761.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780 : 19,172 = 19,172 : x
  2. Step 2: Convert to fraction form
    12,780/19,172 = 19,172/x
  3. Step 3: Cross multiply
    12,780x = 19,172 × 19,172
  4. Step 4: Simplify right side
    12,780x = 367,565,584
  5. Step 5: Solve for x
    x = 367,565,584/12,780
  6. Step 6: Final answer
    x = 28,761.00

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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.