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Finding the Third Proportional to 11,021.63 and 16,464.94

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Solution

The third proportional to 11,021.63 and 16,464.94 is: 24,596.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,021.63 : 16,464.94 = 16,464.94 : x
  2. Step 2: Convert to fraction form
    11,021.63/16,464.94 = 16,464.94/x
  3. Step 3: Cross multiply
    11,021.63x = 16,464.94 × 16,464.94
  4. Step 4: Simplify right side
    11,021.63x = 271,094,166.88
  5. Step 5: Solve for x
    x = 271,094,166.88/11,021.63
  6. Step 6: Final answer
    x = 24,596.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.