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Finding the Third Proportional to 41,706 and 64,677

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Solution

The third proportional to 41,706 and 64,677 is: 100,300.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,706 : 64,677 = 64,677 : x
  2. Step 2: Convert to fraction form
    41,706/64,677 = 64,677/x
  3. Step 3: Cross multiply
    41,706x = 64,677 × 64,677
  4. Step 4: Simplify right side
    41,706x = 4,183,114,329
  5. Step 5: Solve for x
    x = 4,183,114,329/41,706
  6. Step 6: Final answer
    x = 100,300.06

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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.