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Finding the Third Proportional to 19,671.38 and 31,196.44

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Solution

The third proportional to 19,671.38 and 31,196.44 is: 49,473.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,671.38 : 31,196.44 = 31,196.44 : x
  2. Step 2: Convert to fraction form
    19,671.38/31,196.44 = 31,196.44/x
  3. Step 3: Cross multiply
    19,671.38x = 31,196.44 × 31,196.44
  4. Step 4: Simplify right side
    19,671.38x = 973,217,712.69
  5. Step 5: Solve for x
    x = 973,217,712.69/19,671.38
  6. Step 6: Final answer
    x = 49,473.80

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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.