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Finding the Third Proportional to 44,025 and 65,878

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Solution

The third proportional to 44,025 and 65,878 is: 98,578.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,025 : 65,878 = 65,878 : x
  2. Step 2: Convert to fraction form
    44,025/65,878 = 65,878/x
  3. Step 3: Cross multiply
    44,025x = 65,878 × 65,878
  4. Step 4: Simplify right side
    44,025x = 4,339,910,884
  5. Step 5: Solve for x
    x = 4,339,910,884/44,025
  6. Step 6: Final answer
    x = 98,578.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.