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Finding the Third Proportional to 4,950.65 and 10,312.43

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Solution

The third proportional to 4,950.65 and 10,312.43 is: 21,481.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,950.65 : 10,312.43 = 10,312.43 : x
  2. Step 2: Convert to fraction form
    4,950.65/10,312.43 = 10,312.43/x
  3. Step 3: Cross multiply
    4,950.65x = 10,312.43 × 10,312.43
  4. Step 4: Simplify right side
    4,950.65x = 106,346,236.27
  5. Step 5: Solve for x
    x = 106,346,236.27/4,950.65
  6. Step 6: Final answer
    x = 21,481.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.