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Finding the Third Proportional to 6,329.16 and 13,632.19

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Solution

The third proportional to 6,329.16 and 13,632.19 is: 29,361.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.16 : 13,632.19 = 13,632.19 : x
  2. Step 2: Convert to fraction form
    6,329.16/13,632.19 = 13,632.19/x
  3. Step 3: Cross multiply
    6,329.16x = 13,632.19 × 13,632.19
  4. Step 4: Simplify right side
    6,329.16x = 185,836,536.04
  5. Step 5: Solve for x
    x = 185,836,536.04/6,329.16
  6. Step 6: Final answer
    x = 29,361.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.