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Finding the Third Proportional to 6,893.44 and 10,312.59

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Solution

The third proportional to 6,893.44 and 10,312.59 is: 15,427.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.44 : 10,312.59 = 10,312.59 : x
  2. Step 2: Convert to fraction form
    6,893.44/10,312.59 = 10,312.59/x
  3. Step 3: Cross multiply
    6,893.44x = 10,312.59 × 10,312.59
  4. Step 4: Simplify right side
    6,893.44x = 106,349,589.85
  5. Step 5: Solve for x
    x = 106,349,589.85/6,893.44
  6. Step 6: Final answer
    x = 15,427.66

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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.