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Finding the Third Proportional to 5,384.25 and 11,407.69

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Solution

The third proportional to 5,384.25 and 11,407.69 is: 24,169.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.25 : 11,407.69 = 11,407.69 : x
  2. Step 2: Convert to fraction form
    5,384.25/11,407.69 = 11,407.69/x
  3. Step 3: Cross multiply
    5,384.25x = 11,407.69 × 11,407.69
  4. Step 4: Simplify right side
    5,384.25x = 130,135,334.10
  5. Step 5: Solve for x
    x = 130,135,334.10/5,384.25
  6. Step 6: Final answer
    x = 24,169.63

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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.