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Finding the Third Proportional to 5,380 and 8,308.75

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Solution

The third proportional to 5,380 and 8,308.75 is: 12,831.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,380 : 8,308.75 = 8,308.75 : x
  2. Step 2: Convert to fraction form
    5,380/8,308.75 = 8,308.75/x
  3. Step 3: Cross multiply
    5,380x = 8,308.75 × 8,308.75
  4. Step 4: Simplify right side
    5,380x = 69,035,326.56
  5. Step 5: Solve for x
    x = 69,035,326.56/5,380
  6. Step 6: Final answer
    x = 12,831.85

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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.