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Finding the Third Proportional to 2,150.06 and 4,650.94

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Solution

The third proportional to 2,150.06 and 4,650.94 is: 10,060.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.06 : 4,650.94 = 4,650.94 : x
  2. Step 2: Convert to fraction form
    2,150.06/4,650.94 = 4,650.94/x
  3. Step 3: Cross multiply
    2,150.06x = 4,650.94 × 4,650.94
  4. Step 4: Simplify right side
    2,150.06x = 21,631,219.63
  5. Step 5: Solve for x
    x = 21,631,219.63/2,150.06
  6. Step 6: Final answer
    x = 10,060.74

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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.