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Finding the Third Proportional to 19,086 and 28,541.25

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Solution

The third proportional to 19,086 and 28,541.25 is: 42,680.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,086 : 28,541.25 = 28,541.25 : x
  2. Step 2: Convert to fraction form
    19,086/28,541.25 = 28,541.25/x
  3. Step 3: Cross multiply
    19,086x = 28,541.25 × 28,541.25
  4. Step 4: Simplify right side
    19,086x = 814,602,951.56
  5. Step 5: Solve for x
    x = 814,602,951.56/19,086
  6. Step 6: Final answer
    x = 42,680.65

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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.