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Finding the Third Proportional to 4,305.45 and 6,650.23

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Solution

The third proportional to 4,305.45 and 6,650.23 is: 10,272.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.45 : 6,650.23 = 6,650.23 : x
  2. Step 2: Convert to fraction form
    4,305.45/6,650.23 = 6,650.23/x
  3. Step 3: Cross multiply
    4,305.45x = 6,650.23 × 6,650.23
  4. Step 4: Simplify right side
    4,305.45x = 44,225,513.33
  5. Step 5: Solve for x
    x = 44,225,513.33/4,305.45
  6. Step 6: Final answer
    x = 10,272.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.