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Finding the Third Proportional to 4,797.42 and 10,323.84

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Solution

The third proportional to 4,797.42 and 10,323.84 is: 22,216.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.42 : 10,323.84 = 10,323.84 : x
  2. Step 2: Convert to fraction form
    4,797.42/10,323.84 = 10,323.84/x
  3. Step 3: Cross multiply
    4,797.42x = 10,323.84 × 10,323.84
  4. Step 4: Simplify right side
    4,797.42x = 106,581,749.77
  5. Step 5: Solve for x
    x = 106,581,749.77/4,797.42
  6. Step 6: Final answer
    x = 22,216.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.