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Finding the Third Proportional to 3,155 and 6,714.75

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Solution

The third proportional to 3,155 and 6,714.75 is: 14,290.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155 : 6,714.75 = 6,714.75 : x
  2. Step 2: Convert to fraction form
    3,155/6,714.75 = 6,714.75/x
  3. Step 3: Cross multiply
    3,155x = 6,714.75 × 6,714.75
  4. Step 4: Simplify right side
    3,155x = 45,087,867.56
  5. Step 5: Solve for x
    x = 45,087,867.56/3,155
  6. Step 6: Final answer
    x = 14,290.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.