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Finding the Third Proportional to 19,143 and 41,367.38

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Solution

The third proportional to 19,143 and 41,367.38 is: 89,393.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,143 : 41,367.38 = 41,367.38 : x
  2. Step 2: Convert to fraction form
    19,143/41,367.38 = 41,367.38/x
  3. Step 3: Cross multiply
    19,143x = 41,367.38 × 41,367.38
  4. Step 4: Simplify right side
    19,143x = 1,711,259,714.39
  5. Step 5: Solve for x
    x = 1,711,259,714.39/19,143
  6. Step 6: Final answer
    x = 89,393.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.