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Finding the Third Proportional to 2,877.75 and 6,180.75

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Solution

The third proportional to 2,877.75 and 6,180.75 is: 13,274.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.75 : 6,180.75 = 6,180.75 : x
  2. Step 2: Convert to fraction form
    2,877.75/6,180.75 = 6,180.75/x
  3. Step 3: Cross multiply
    2,877.75x = 6,180.75 × 6,180.75
  4. Step 4: Simplify right side
    2,877.75x = 38,201,670.56
  5. Step 5: Solve for x
    x = 38,201,670.56/2,877.75
  6. Step 6: Final answer
    x = 13,274.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.