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Finding the Third Proportional to 4,630.29 and 9,813.02

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Solution

The third proportional to 4,630.29 and 9,813.02 is: 20,796.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.29 : 9,813.02 = 9,813.02 : x
  2. Step 2: Convert to fraction form
    4,630.29/9,813.02 = 9,813.02/x
  3. Step 3: Cross multiply
    4,630.29x = 9,813.02 × 9,813.02
  4. Step 4: Simplify right side
    4,630.29x = 96,295,428.98
  5. Step 5: Solve for x
    x = 96,295,428.98/4,630.29
  6. Step 6: Final answer
    x = 20,796.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.