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Finding the Third Proportional to 28,404 and 44,106

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Solution

The third proportional to 28,404 and 44,106 is: 68,488.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,404 : 44,106 = 44,106 : x
  2. Step 2: Convert to fraction form
    28,404/44,106 = 44,106/x
  3. Step 3: Cross multiply
    28,404x = 44,106 × 44,106
  4. Step 4: Simplify right side
    28,404x = 1,945,339,236
  5. Step 5: Solve for x
    x = 1,945,339,236/28,404
  6. Step 6: Final answer
    x = 68,488.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.