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Finding the Third Proportional to 11,328 and 24,114

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Solution

The third proportional to 11,328 and 24,114 is: 51,331.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,328 : 24,114 = 24,114 : x
  2. Step 2: Convert to fraction form
    11,328/24,114 = 24,114/x
  3. Step 3: Cross multiply
    11,328x = 24,114 × 24,114
  4. Step 4: Simplify right side
    11,328x = 581,484,996
  5. Step 5: Solve for x
    x = 581,484,996/11,328
  6. Step 6: Final answer
    x = 51,331.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.