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Finding the Third Proportional to 19,847.63 and 31,593.94

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Solution

The third proportional to 19,847.63 and 31,593.94 is: 50,292.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,847.63 : 31,593.94 = 31,593.94 : x
  2. Step 2: Convert to fraction form
    19,847.63/31,593.94 = 31,593.94/x
  3. Step 3: Cross multiply
    19,847.63x = 31,593.94 × 31,593.94
  4. Step 4: Simplify right side
    19,847.63x = 998,176,886.75
  5. Step 5: Solve for x
    x = 998,176,886.75/19,847.63
  6. Step 6: Final answer
    x = 50,292.01

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.