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Finding the Third Proportional to 3,391.56 and 6,885.63

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Solution

The third proportional to 3,391.56 and 6,885.63 is: 13,979.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,391.56 : 6,885.63 = 6,885.63 : x
  2. Step 2: Convert to fraction form
    3,391.56/6,885.63 = 6,885.63/x
  3. Step 3: Cross multiply
    3,391.56x = 6,885.63 × 6,885.63
  4. Step 4: Simplify right side
    3,391.56x = 47,411,939.23
  5. Step 5: Solve for x
    x = 47,411,939.23/3,391.56
  6. Step 6: Final answer
    x = 13,979.40

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.