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Finding the Third Proportional to 6,364.69 and 9,258.19

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Solution

The third proportional to 6,364.69 and 9,258.19 is: 13,467.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.69 : 9,258.19 = 9,258.19 : x
  2. Step 2: Convert to fraction form
    6,364.69/9,258.19 = 9,258.19/x
  3. Step 3: Cross multiply
    6,364.69x = 9,258.19 × 9,258.19
  4. Step 4: Simplify right side
    6,364.69x = 85,714,035.79
  5. Step 5: Solve for x
    x = 85,714,035.79/6,364.69
  6. Step 6: Final answer
    x = 13,467.12

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.