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Finding the Third Proportional to 44,273 and 67,755

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Solution

The third proportional to 44,273 and 67,755 is: 103,691.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,273 : 67,755 = 67,755 : x
  2. Step 2: Convert to fraction form
    44,273/67,755 = 67,755/x
  3. Step 3: Cross multiply
    44,273x = 67,755 × 67,755
  4. Step 4: Simplify right side
    44,273x = 4,590,740,025
  5. Step 5: Solve for x
    x = 4,590,740,025/44,273
  6. Step 6: Final answer
    x = 103,691.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.