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Finding the Third Proportional to 5,303.81 and 11,429.44

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Solution

The third proportional to 5,303.81 and 11,429.44 is: 24,629.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.81 : 11,429.44 = 11,429.44 : x
  2. Step 2: Convert to fraction form
    5,303.81/11,429.44 = 11,429.44/x
  3. Step 3: Cross multiply
    5,303.81x = 11,429.44 × 11,429.44
  4. Step 4: Simplify right side
    5,303.81x = 130,632,041.57
  5. Step 5: Solve for x
    x = 130,632,041.57/5,303.81
  6. Step 6: Final answer
    x = 24,629.84

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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.