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Finding the Third Proportional to 28,994 and 44,427

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Solution

The third proportional to 28,994 and 44,427 is: 68,074.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,994 : 44,427 = 44,427 : x
  2. Step 2: Convert to fraction form
    28,994/44,427 = 44,427/x
  3. Step 3: Cross multiply
    28,994x = 44,427 × 44,427
  4. Step 4: Simplify right side
    28,994x = 1,973,758,329
  5. Step 5: Solve for x
    x = 1,973,758,329/28,994
  6. Step 6: Final answer
    x = 68,074.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.