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Finding the Third Proportional to 2,958.19 and 5,346.84

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Solution

The third proportional to 2,958.19 and 5,346.84 is: 9,664.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,958.19 : 5,346.84 = 5,346.84 : x
  2. Step 2: Convert to fraction form
    2,958.19/5,346.84 = 5,346.84/x
  3. Step 3: Cross multiply
    2,958.19x = 5,346.84 × 5,346.84
  4. Step 4: Simplify right side
    2,958.19x = 28,588,738.09
  5. Step 5: Solve for x
    x = 28,588,738.09/2,958.19
  6. Step 6: Final answer
    x = 9,664.28

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.