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Finding the Third Proportional to 6,185 and 12,977.56

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Solution

The third proportional to 6,185 and 12,977.56 is: 27,229.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185 : 12,977.56 = 12,977.56 : x
  2. Step 2: Convert to fraction form
    6,185/12,977.56 = 12,977.56/x
  3. Step 3: Cross multiply
    6,185x = 12,977.56 × 12,977.56
  4. Step 4: Simplify right side
    6,185x = 168,417,128.44
  5. Step 5: Solve for x
    x = 168,417,128.44/6,185
  6. Step 6: Final answer
    x = 27,229.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.