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Finding the Third Proportional to 41,774 and 64,655

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Solution

The third proportional to 41,774 and 64,655 is: 100,068.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,774 : 64,655 = 64,655 : x
  2. Step 2: Convert to fraction form
    41,774/64,655 = 64,655/x
  3. Step 3: Cross multiply
    41,774x = 64,655 × 64,655
  4. Step 4: Simplify right side
    41,774x = 4,180,269,025
  5. Step 5: Solve for x
    x = 4,180,269,025/41,774
  6. Step 6: Final answer
    x = 100,068.68

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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.