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Finding the Third Proportional to 4,908.96 and 10,596.29

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Solution

The third proportional to 4,908.96 and 10,596.29 is: 22,872.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,908.96 : 10,596.29 = 10,596.29 : x
  2. Step 2: Convert to fraction form
    4,908.96/10,596.29 = 10,596.29/x
  3. Step 3: Cross multiply
    4,908.96x = 10,596.29 × 10,596.29
  4. Step 4: Simplify right side
    4,908.96x = 112,281,300.50
  5. Step 5: Solve for x
    x = 112,281,300.50/4,908.96
  6. Step 6: Final answer
    x = 22,872.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.