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Finding the Third Proportional to 4,640.50 and 9,736.63

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Solution

The third proportional to 4,640.50 and 9,736.63 is: 20,429.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.50 : 9,736.63 = 9,736.63 : x
  2. Step 2: Convert to fraction form
    4,640.50/9,736.63 = 9,736.63/x
  3. Step 3: Cross multiply
    4,640.50x = 9,736.63 × 9,736.63
  4. Step 4: Simplify right side
    4,640.50x = 94,801,866.39
  5. Step 5: Solve for x
    x = 94,801,866.39/4,640.50
  6. Step 6: Final answer
    x = 20,429.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.