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Finding the Third Proportional to 18,774 and 28,297

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Solution

The third proportional to 18,774 and 28,297 is: 42,650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,774 : 28,297 = 28,297 : x
  2. Step 2: Convert to fraction form
    18,774/28,297 = 28,297/x
  3. Step 3: Cross multiply
    18,774x = 28,297 × 28,297
  4. Step 4: Simplify right side
    18,774x = 800,720,209
  5. Step 5: Solve for x
    x = 800,720,209/18,774
  6. Step 6: Final answer
    x = 42,650.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.