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Finding the Third Proportional to 7,205.44 and 16,829.81

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Solution

The third proportional to 7,205.44 and 16,829.81 is: 39,309.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.44 : 16,829.81 = 16,829.81 : x
  2. Step 2: Convert to fraction form
    7,205.44/16,829.81 = 16,829.81/x
  3. Step 3: Cross multiply
    7,205.44x = 16,829.81 × 16,829.81
  4. Step 4: Simplify right side
    7,205.44x = 283,242,588.79
  5. Step 5: Solve for x
    x = 283,242,588.79/7,205.44
  6. Step 6: Final answer
    x = 39,309.56

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.