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Finding the Third Proportional to 4,595.06 and 6,893.44

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Solution

The third proportional to 4,595.06 and 6,893.44 is: 10,341.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,595.06 : 6,893.44 = 6,893.44 : x
  2. Step 2: Convert to fraction form
    4,595.06/6,893.44 = 6,893.44/x
  3. Step 3: Cross multiply
    4,595.06x = 6,893.44 × 6,893.44
  4. Step 4: Simplify right side
    4,595.06x = 47,519,480.57
  5. Step 5: Solve for x
    x = 47,519,480.57/4,595.06
  6. Step 6: Final answer
    x = 10,341.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.