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Finding the Third Proportional to 19,497.94 and 31,400.16

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Solution

The third proportional to 19,497.94 and 31,400.16 is: 50,567.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,497.94 : 31,400.16 = 31,400.16 : x
  2. Step 2: Convert to fraction form
    19,497.94/31,400.16 = 31,400.16/x
  3. Step 3: Cross multiply
    19,497.94x = 31,400.16 × 31,400.16
  4. Step 4: Simplify right side
    19,497.94x = 985,969,812.52
  5. Step 5: Solve for x
    x = 985,969,812.52/19,497.94
  6. Step 6: Final answer
    x = 50,567.90

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.