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Finding the Third Proportional to 3,071.63 and 6,581.63

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Solution

The third proportional to 3,071.63 and 6,581.63 is: 14,102.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.63 : 6,581.63 = 6,581.63 : x
  2. Step 2: Convert to fraction form
    3,071.63/6,581.63 = 6,581.63/x
  3. Step 3: Cross multiply
    3,071.63x = 6,581.63 × 6,581.63
  4. Step 4: Simplify right side
    3,071.63x = 43,317,787.64
  5. Step 5: Solve for x
    x = 43,317,787.64/3,071.63
  6. Step 6: Final answer
    x = 14,102.56

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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.