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Finding the Third Proportional to 30,763 and 66,862

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Solution

The third proportional to 30,763 and 66,862 is: 145,321.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,763 : 66,862 = 66,862 : x
  2. Step 2: Convert to fraction form
    30,763/66,862 = 66,862/x
  3. Step 3: Cross multiply
    30,763x = 66,862 × 66,862
  4. Step 4: Simplify right side
    30,763x = 4,470,527,044
  5. Step 5: Solve for x
    x = 4,470,527,044/30,763
  6. Step 6: Final answer
    x = 145,321.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.