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Finding the Third Proportional to 28,775 and 44,657

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Solution

The third proportional to 28,775 and 44,657 is: 69,304.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,775 : 44,657 = 44,657 : x
  2. Step 2: Convert to fraction form
    28,775/44,657 = 44,657/x
  3. Step 3: Cross multiply
    28,775x = 44,657 × 44,657
  4. Step 4: Simplify right side
    28,775x = 1,994,247,649
  5. Step 5: Solve for x
    x = 1,994,247,649/28,775
  6. Step 6: Final answer
    x = 69,304.87

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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.