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Finding the Third Proportional to 3,146 and 6,786

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Solution

The third proportional to 3,146 and 6,786 is: 14,637.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146 : 6,786 = 6,786 : x
  2. Step 2: Convert to fraction form
    3,146/6,786 = 6,786/x
  3. Step 3: Cross multiply
    3,146x = 6,786 × 6,786
  4. Step 4: Simplify right side
    3,146x = 46,049,796
  5. Step 5: Solve for x
    x = 46,049,796/3,146
  6. Step 6: Final answer
    x = 14,637.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.