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Finding the Third Proportional to 2,748.94 and 6,111.28

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Solution

The third proportional to 2,748.94 and 6,111.28 is: 13,586.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.94 : 6,111.28 = 6,111.28 : x
  2. Step 2: Convert to fraction form
    2,748.94/6,111.28 = 6,111.28/x
  3. Step 3: Cross multiply
    2,748.94x = 6,111.28 × 6,111.28
  4. Step 4: Simplify right side
    2,748.94x = 37,347,758.52
  5. Step 5: Solve for x
    x = 37,347,758.52/2,748.94
  6. Step 6: Final answer
    x = 13,586.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.