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Finding the Third Proportional to 2,905.88 and 6,078.38

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Solution

The third proportional to 2,905.88 and 6,078.38 is: 12,714.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.88 : 6,078.38 = 6,078.38 : x
  2. Step 2: Convert to fraction form
    2,905.88/6,078.38 = 6,078.38/x
  3. Step 3: Cross multiply
    2,905.88x = 6,078.38 × 6,078.38
  4. Step 4: Simplify right side
    2,905.88x = 36,946,642.64
  5. Step 5: Solve for x
    x = 36,946,642.64/2,905.88
  6. Step 6: Final answer
    x = 12,714.46

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.