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Finding the Third Proportional to 12,724 and 19,094

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Solution

The third proportional to 12,724 and 19,094 is: 28,653.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,724 : 19,094 = 19,094 : x
  2. Step 2: Convert to fraction form
    12,724/19,094 = 19,094/x
  3. Step 3: Cross multiply
    12,724x = 19,094 × 19,094
  4. Step 4: Simplify right side
    12,724x = 364,580,836
  5. Step 5: Solve for x
    x = 364,580,836/12,724
  6. Step 6: Final answer
    x = 28,653.01

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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.