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Finding the Third Proportional to 11,074.22 and 24,586.03

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Solution

The third proportional to 11,074.22 and 24,586.03 is: 54,583.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,074.22 : 24,586.03 = 24,586.03 : x
  2. Step 2: Convert to fraction form
    11,074.22/24,586.03 = 24,586.03/x
  3. Step 3: Cross multiply
    11,074.22x = 24,586.03 × 24,586.03
  4. Step 4: Simplify right side
    11,074.22x = 604,472,932.63
  5. Step 5: Solve for x
    x = 604,472,932.63/11,074.22
  6. Step 6: Final answer
    x = 54,583.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.