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Finding the Third Proportional to 2,984.34 and 6,486.96

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Solution

The third proportional to 2,984.34 and 6,486.96 is: 14,100.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.34 : 6,486.96 = 6,486.96 : x
  2. Step 2: Convert to fraction form
    2,984.34/6,486.96 = 6,486.96/x
  3. Step 3: Cross multiply
    2,984.34x = 6,486.96 × 6,486.96
  4. Step 4: Simplify right side
    2,984.34x = 42,080,662.20
  5. Step 5: Solve for x
    x = 42,080,662.20/2,984.34
  6. Step 6: Final answer
    x = 14,100.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.