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Finding the Third Proportional to 43,763 and 66,047

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Solution

The third proportional to 43,763 and 66,047 is: 99,677.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,763 : 66,047 = 66,047 : x
  2. Step 2: Convert to fraction form
    43,763/66,047 = 66,047/x
  3. Step 3: Cross multiply
    43,763x = 66,047 × 66,047
  4. Step 4: Simplify right side
    43,763x = 4,362,206,209
  5. Step 5: Solve for x
    x = 4,362,206,209/43,763
  6. Step 6: Final answer
    x = 99,677.95

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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.