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Finding the Third Proportional to 2,865.50 and 6,076.25

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Solution

The third proportional to 2,865.50 and 6,076.25 is: 12,884.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.50 : 6,076.25 = 6,076.25 : x
  2. Step 2: Convert to fraction form
    2,865.50/6,076.25 = 6,076.25/x
  3. Step 3: Cross multiply
    2,865.50x = 6,076.25 × 6,076.25
  4. Step 4: Simplify right side
    2,865.50x = 36,920,814.06
  5. Step 5: Solve for x
    x = 36,920,814.06/2,865.50
  6. Step 6: Final answer
    x = 12,884.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.