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Finding the Third Proportional to 9,101.11 and 19,626.05

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Solution

The third proportional to 9,101.11 and 19,626.05 is: 42,322.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.11 : 19,626.05 = 19,626.05 : x
  2. Step 2: Convert to fraction form
    9,101.11/19,626.05 = 19,626.05/x
  3. Step 3: Cross multiply
    9,101.11x = 19,626.05 × 19,626.05
  4. Step 4: Simplify right side
    9,101.11x = 385,181,715.94
  5. Step 5: Solve for x
    x = 385,181,715.94/9,101.11
  6. Step 6: Final answer
    x = 42,322.50

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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.