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Finding the Third Proportional to 2,946.38 and 6,343.88

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Solution

The third proportional to 2,946.38 and 6,343.88 is: 13,659.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.38 : 6,343.88 = 6,343.88 : x
  2. Step 2: Convert to fraction form
    2,946.38/6,343.88 = 6,343.88/x
  3. Step 3: Cross multiply
    2,946.38x = 6,343.88 × 6,343.88
  4. Step 4: Simplify right side
    2,946.38x = 40,244,750.02
  5. Step 5: Solve for x
    x = 40,244,750.02/2,946.38
  6. Step 6: Final answer
    x = 13,659.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.