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Finding the Third Proportional to 19,114.42 and 40,997.71

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Solution

The third proportional to 19,114.42 and 40,997.71 is: 87,934.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,114.42 : 40,997.71 = 40,997.71 : x
  2. Step 2: Convert to fraction form
    19,114.42/40,997.71 = 40,997.71/x
  3. Step 3: Cross multiply
    19,114.42x = 40,997.71 × 40,997.71
  4. Step 4: Simplify right side
    19,114.42x = 1,680,811,981.82
  5. Step 5: Solve for x
    x = 1,680,811,981.82/19,114.42
  6. Step 6: Final answer
    x = 87,934.25

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.