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Finding the Third Proportional to 24,009.75 and 51,846.75

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Solution

The third proportional to 24,009.75 and 51,846.75 is: 111,958.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,009.75 : 51,846.75 = 51,846.75 : x
  2. Step 2: Convert to fraction form
    24,009.75/51,846.75 = 51,846.75/x
  3. Step 3: Cross multiply
    24,009.75x = 51,846.75 × 51,846.75
  4. Step 4: Simplify right side
    24,009.75x = 2,688,085,485.56
  5. Step 5: Solve for x
    x = 2,688,085,485.56/24,009.75
  6. Step 6: Final answer
    x = 111,958.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.