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Finding the Third Proportional to 19,064 and 28,876

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Solution

The third proportional to 19,064 and 28,876 is: 43,738.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,064 : 28,876 = 28,876 : x
  2. Step 2: Convert to fraction form
    19,064/28,876 = 28,876/x
  3. Step 3: Cross multiply
    19,064x = 28,876 × 28,876
  4. Step 4: Simplify right side
    19,064x = 833,823,376
  5. Step 5: Solve for x
    x = 833,823,376/19,064
  6. Step 6: Final answer
    x = 43,738.11

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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.