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Finding the Third Proportional to 2,700.75 and 6,256.22

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Solution

The third proportional to 2,700.75 and 6,256.22 is: 14,492.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.75 : 6,256.22 = 6,256.22 : x
  2. Step 2: Convert to fraction form
    2,700.75/6,256.22 = 6,256.22/x
  3. Step 3: Cross multiply
    2,700.75x = 6,256.22 × 6,256.22
  4. Step 4: Simplify right side
    2,700.75x = 39,140,273.05
  5. Step 5: Solve for x
    x = 39,140,273.05/2,700.75
  6. Step 6: Final answer
    x = 14,492.37

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.