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Finding the Third Proportional to 28,409 and 44,467

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Solution

The third proportional to 28,409 and 44,467 is: 69,601.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,409 : 44,467 = 44,467 : x
  2. Step 2: Convert to fraction form
    28,409/44,467 = 44,467/x
  3. Step 3: Cross multiply
    28,409x = 44,467 × 44,467
  4. Step 4: Simplify right side
    28,409x = 1,977,314,089
  5. Step 5: Solve for x
    x = 1,977,314,089/28,409
  6. Step 6: Final answer
    x = 69,601.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.