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Finding the Third Proportional to 19,086 and 28,000

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Solution

The third proportional to 19,086 and 28,000 is: 41,077.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,086 : 28,000 = 28,000 : x
  2. Step 2: Convert to fraction form
    19,086/28,000 = 28,000/x
  3. Step 3: Cross multiply
    19,086x = 28,000 × 28,000
  4. Step 4: Simplify right side
    19,086x = 784,000,000
  5. Step 5: Solve for x
    x = 784,000,000/19,086
  6. Step 6: Final answer
    x = 41,077.23

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.