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Finding the Third Proportional to 44,678 and 67,595

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Solution

The third proportional to 44,678 and 67,595 is: 102,266.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,678 : 67,595 = 67,595 : x
  2. Step 2: Convert to fraction form
    44,678/67,595 = 67,595/x
  3. Step 3: Cross multiply
    44,678x = 67,595 × 67,595
  4. Step 4: Simplify right side
    44,678x = 4,569,084,025
  5. Step 5: Solve for x
    x = 4,569,084,025/44,678
  6. Step 6: Final answer
    x = 102,266.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.