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Finding the Third Proportional to 6,396.19 and 9,867.66

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Solution

The third proportional to 6,396.19 and 9,867.66 is: 15,223.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.19 : 9,867.66 = 9,867.66 : x
  2. Step 2: Convert to fraction form
    6,396.19/9,867.66 = 9,867.66/x
  3. Step 3: Cross multiply
    6,396.19x = 9,867.66 × 9,867.66
  4. Step 4: Simplify right side
    6,396.19x = 97,370,639.87
  5. Step 5: Solve for x
    x = 97,370,639.87/6,396.19
  6. Step 6: Final answer
    x = 15,223.23

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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.