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Finding the Third Proportional to 3,451.99 and 5,308.98

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Solution

The third proportional to 3,451.99 and 5,308.98 is: 8,164.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.99 : 5,308.98 = 5,308.98 : x
  2. Step 2: Convert to fraction form
    3,451.99/5,308.98 = 5,308.98/x
  3. Step 3: Cross multiply
    3,451.99x = 5,308.98 × 5,308.98
  4. Step 4: Simplify right side
    3,451.99x = 28,185,273.62
  5. Step 5: Solve for x
    x = 28,185,273.62/3,451.99
  6. Step 6: Final answer
    x = 8,164.93

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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.