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Finding the Third Proportional to 8,303.77 and 17,308.05

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Solution

The third proportional to 8,303.77 and 17,308.05 is: 36,076.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303.77 : 17,308.05 = 17,308.05 : x
  2. Step 2: Convert to fraction form
    8,303.77/17,308.05 = 17,308.05/x
  3. Step 3: Cross multiply
    8,303.77x = 17,308.05 × 17,308.05
  4. Step 4: Simplify right side
    8,303.77x = 299,568,757.07
  5. Step 5: Solve for x
    x = 299,568,757.07/8,303.77
  6. Step 6: Final answer
    x = 36,076.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.