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Finding the Third Proportional to 19,143 and 25,789.50

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Solution

The third proportional to 19,143 and 25,789.50 is: 34,743.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,143 : 25,789.50 = 25,789.50 : x
  2. Step 2: Convert to fraction form
    19,143/25,789.50 = 25,789.50/x
  3. Step 3: Cross multiply
    19,143x = 25,789.50 × 25,789.50
  4. Step 4: Simplify right side
    19,143x = 665,098,310.25
  5. Step 5: Solve for x
    x = 665,098,310.25/19,143
  6. Step 6: Final answer
    x = 34,743.68

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.