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Finding the Third Proportional to 6,017 and 12,904

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Solution

The third proportional to 6,017 and 12,904 is: 27,673.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,017 : 12,904 = 12,904 : x
  2. Step 2: Convert to fraction form
    6,017/12,904 = 12,904/x
  3. Step 3: Cross multiply
    6,017x = 12,904 × 12,904
  4. Step 4: Simplify right side
    6,017x = 166,513,216
  5. Step 5: Solve for x
    x = 166,513,216/6,017
  6. Step 6: Final answer
    x = 27,673.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.