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Finding the Third Proportional to 2,946.66 and 6,354.70

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Solution

The third proportional to 2,946.66 and 6,354.70 is: 13,704.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.66 : 6,354.70 = 6,354.70 : x
  2. Step 2: Convert to fraction form
    2,946.66/6,354.70 = 6,354.70/x
  3. Step 3: Cross multiply
    2,946.66x = 6,354.70 × 6,354.70
  4. Step 4: Simplify right side
    2,946.66x = 40,382,251.81
  5. Step 5: Solve for x
    x = 40,382,251.81/2,946.66
  6. Step 6: Final answer
    x = 13,704.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.