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Finding the Third Proportional to 4,106.25 and 8,826.75

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Solution

The third proportional to 4,106.25 and 8,826.75 is: 18,973.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106.25 : 8,826.75 = 8,826.75 : x
  2. Step 2: Convert to fraction form
    4,106.25/8,826.75 = 8,826.75/x
  3. Step 3: Cross multiply
    4,106.25x = 8,826.75 × 8,826.75
  4. Step 4: Simplify right side
    4,106.25x = 77,911,515.56
  5. Step 5: Solve for x
    x = 77,911,515.56/4,106.25
  6. Step 6: Final answer
    x = 18,973.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.