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Finding the Third Proportional to 2,012.63 and 2,946.75

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Solution

The third proportional to 2,012.63 and 2,946.75 is: 4,314.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.63 : 2,946.75 = 2,946.75 : x
  2. Step 2: Convert to fraction form
    2,012.63/2,946.75 = 2,946.75/x
  3. Step 3: Cross multiply
    2,012.63x = 2,946.75 × 2,946.75
  4. Step 4: Simplify right side
    2,012.63x = 8,683,335.56
  5. Step 5: Solve for x
    x = 8,683,335.56/2,012.63
  6. Step 6: Final answer
    x = 4,314.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.