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Finding the Third Proportional to 9,991.50 and 21,541.25

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Solution

The third proportional to 9,991.50 and 21,541.25 is: 46,442.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.50 : 21,541.25 = 21,541.25 : x
  2. Step 2: Convert to fraction form
    9,991.50/21,541.25 = 21,541.25/x
  3. Step 3: Cross multiply
    9,991.50x = 21,541.25 × 21,541.25
  4. Step 4: Simplify right side
    9,991.50x = 464,025,451.56
  5. Step 5: Solve for x
    x = 464,025,451.56/9,991.50
  6. Step 6: Final answer
    x = 46,442.02

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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.