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Finding the Third Proportional to 11,255.63 and 23,675.63

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Solution

The third proportional to 11,255.63 and 23,675.63 is: 49,800.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,255.63 : 23,675.63 = 23,675.63 : x
  2. Step 2: Convert to fraction form
    11,255.63/23,675.63 = 23,675.63/x
  3. Step 3: Cross multiply
    11,255.63x = 23,675.63 × 23,675.63
  4. Step 4: Simplify right side
    11,255.63x = 560,535,219.14
  5. Step 5: Solve for x
    x = 560,535,219.14/11,255.63
  6. Step 6: Final answer
    x = 49,800.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.