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Finding the Third Proportional to 20,904.75 and 42,828.75

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Solution

The third proportional to 20,904.75 and 42,828.75 is: 87,745.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,904.75 : 42,828.75 = 42,828.75 : x
  2. Step 2: Convert to fraction form
    20,904.75/42,828.75 = 42,828.75/x
  3. Step 3: Cross multiply
    20,904.75x = 42,828.75 × 42,828.75
  4. Step 4: Simplify right side
    20,904.75x = 1,834,301,826.56
  5. Step 5: Solve for x
    x = 1,834,301,826.56/20,904.75
  6. Step 6: Final answer
    x = 87,745.70

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.