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Finding the Third Proportional to 28,604 and 44,649

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Solution

The third proportional to 28,604 and 44,649 is: 69,694.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,604 : 44,649 = 44,649 : x
  2. Step 2: Convert to fraction form
    28,604/44,649 = 44,649/x
  3. Step 3: Cross multiply
    28,604x = 44,649 × 44,649
  4. Step 4: Simplify right side
    28,604x = 1,993,533,201
  5. Step 5: Solve for x
    x = 1,993,533,201/28,604
  6. Step 6: Final answer
    x = 69,694.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.