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Finding the Third Proportional to 18,468 and 38,025

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Solution

The third proportional to 18,468 and 38,025 is: 78,292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,468 : 38,025 = 38,025 : x
  2. Step 2: Convert to fraction form
    18,468/38,025 = 38,025/x
  3. Step 3: Cross multiply
    18,468x = 38,025 × 38,025
  4. Step 4: Simplify right side
    18,468x = 1,445,900,625
  5. Step 5: Solve for x
    x = 1,445,900,625/18,468
  6. Step 6: Final answer
    x = 78,292.21

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.