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Finding the Third Proportional to 9,196.88 and 19,850.91

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Solution

The third proportional to 9,196.88 and 19,850.91 is: 42,847.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.88 : 19,850.91 = 19,850.91 : x
  2. Step 2: Convert to fraction form
    9,196.88/19,850.91 = 19,850.91/x
  3. Step 3: Cross multiply
    9,196.88x = 19,850.91 × 19,850.91
  4. Step 4: Simplify right side
    9,196.88x = 394,058,478.95
  5. Step 5: Solve for x
    x = 394,058,478.95/9,196.88
  6. Step 6: Final answer
    x = 42,847.00

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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.