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Finding the Third Proportional to 6,364.85 and 9,352.42

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Solution

The third proportional to 6,364.85 and 9,352.42 is: 13,742.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.85 : 9,352.42 = 9,352.42 : x
  2. Step 2: Convert to fraction form
    6,364.85/9,352.42 = 9,352.42/x
  3. Step 3: Cross multiply
    6,364.85x = 9,352.42 × 9,352.42
  4. Step 4: Simplify right side
    6,364.85x = 87,467,667.06
  5. Step 5: Solve for x
    x = 87,467,667.06/6,364.85
  6. Step 6: Final answer
    x = 13,742.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.