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Finding the Third Proportional to 23,709 and 51,093.75

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Solution

The third proportional to 23,709 and 51,093.75 is: 110,108.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,709 : 51,093.75 = 51,093.75 : x
  2. Step 2: Convert to fraction form
    23,709/51,093.75 = 51,093.75/x
  3. Step 3: Cross multiply
    23,709x = 51,093.75 × 51,093.75
  4. Step 4: Simplify right side
    23,709x = 2,610,571,289.06
  5. Step 5: Solve for x
    x = 2,610,571,289.06/23,709
  6. Step 6: Final answer
    x = 110,108.87

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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.