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Finding the Third Proportional to 2,768.55 and 6,146.51

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Solution

The third proportional to 2,768.55 and 6,146.51 is: 13,645.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.55 : 6,146.51 = 6,146.51 : x
  2. Step 2: Convert to fraction form
    2,768.55/6,146.51 = 6,146.51/x
  3. Step 3: Cross multiply
    2,768.55x = 6,146.51 × 6,146.51
  4. Step 4: Simplify right side
    2,768.55x = 37,779,558.29
  5. Step 5: Solve for x
    x = 37,779,558.29/2,768.55
  6. Step 6: Final answer
    x = 13,645.95

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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.