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Finding the Third Proportional to 11,372.63 and 23,311.69

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Solution

The third proportional to 11,372.63 and 23,311.69 is: 47,784.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,372.63 : 23,311.69 = 23,311.69 : x
  2. Step 2: Convert to fraction form
    11,372.63/23,311.69 = 23,311.69/x
  3. Step 3: Cross multiply
    11,372.63x = 23,311.69 × 23,311.69
  4. Step 4: Simplify right side
    11,372.63x = 543,434,774.10
  5. Step 5: Solve for x
    x = 543,434,774.10/11,372.63
  6. Step 6: Final answer
    x = 47,784.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.