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Finding the Third Proportional to 14,328 and 19,541.25

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Solution

The third proportional to 14,328 and 19,541.25 is: 26,651.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,328 : 19,541.25 = 19,541.25 : x
  2. Step 2: Convert to fraction form
    14,328/19,541.25 = 19,541.25/x
  3. Step 3: Cross multiply
    14,328x = 19,541.25 × 19,541.25
  4. Step 4: Simplify right side
    14,328x = 381,860,451.56
  5. Step 5: Solve for x
    x = 381,860,451.56/14,328
  6. Step 6: Final answer
    x = 26,651.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.