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Finding the Third Proportional to 6,835.69 and 10,544.72

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Solution

The third proportional to 6,835.69 and 10,544.72 is: 16,266.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.69 : 10,544.72 = 10,544.72 : x
  2. Step 2: Convert to fraction form
    6,835.69/10,544.72 = 10,544.72/x
  3. Step 3: Cross multiply
    6,835.69x = 10,544.72 × 10,544.72
  4. Step 4: Simplify right side
    6,835.69x = 111,191,093.52
  5. Step 5: Solve for x
    x = 111,191,093.52/6,835.69
  6. Step 6: Final answer
    x = 16,266.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.