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Finding the Third Proportional to 4,735.50 and 9,960.19

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Solution

The third proportional to 4,735.50 and 9,960.19 is: 20,949.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.50 : 9,960.19 = 9,960.19 : x
  2. Step 2: Convert to fraction form
    4,735.50/9,960.19 = 9,960.19/x
  3. Step 3: Cross multiply
    4,735.50x = 9,960.19 × 9,960.19
  4. Step 4: Simplify right side
    4,735.50x = 99,205,335.04
  5. Step 5: Solve for x
    x = 99,205,335.04/4,735.50
  6. Step 6: Final answer
    x = 20,949.28

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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.