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Finding the Third Proportional to 6,629.34 and 10,395.84

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Solution

The third proportional to 6,629.34 and 10,395.84 is: 16,302.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,629.34 : 10,395.84 = 10,395.84 : x
  2. Step 2: Convert to fraction form
    6,629.34/10,395.84 = 10,395.84/x
  3. Step 3: Cross multiply
    6,629.34x = 10,395.84 × 10,395.84
  4. Step 4: Simplify right side
    6,629.34x = 108,073,567.27
  5. Step 5: Solve for x
    x = 108,073,567.27/6,629.34
  6. Step 6: Final answer
    x = 16,302.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.