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Finding the Third Proportional to 10,524.94 and 22,239.56

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Solution

The third proportional to 10,524.94 and 22,239.56 is: 46,992.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.94 : 22,239.56 = 22,239.56 : x
  2. Step 2: Convert to fraction form
    10,524.94/22,239.56 = 22,239.56/x
  3. Step 3: Cross multiply
    10,524.94x = 22,239.56 × 22,239.56
  4. Step 4: Simplify right side
    10,524.94x = 494,598,140.19
  5. Step 5: Solve for x
    x = 494,598,140.19/10,524.94
  6. Step 6: Final answer
    x = 46,992.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.