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Finding the Third Proportional to 11,491.88 and 16,262.02

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Solution

The third proportional to 11,491.88 and 16,262.02 is: 23,012.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.88 : 16,262.02 = 16,262.02 : x
  2. Step 2: Convert to fraction form
    11,491.88/16,262.02 = 16,262.02/x
  3. Step 3: Cross multiply
    11,491.88x = 16,262.02 × 16,262.02
  4. Step 4: Simplify right side
    11,491.88x = 264,453,152.19
  5. Step 5: Solve for x
    x = 264,453,152.19/11,491.88
  6. Step 6: Final answer
    x = 23,012.18

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.