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Finding the Third Proportional to 35,446 and 76,711

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Solution

The third proportional to 35,446 and 76,711 is: 166,015.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,446 : 76,711 = 76,711 : x
  2. Step 2: Convert to fraction form
    35,446/76,711 = 76,711/x
  3. Step 3: Cross multiply
    35,446x = 76,711 × 76,711
  4. Step 4: Simplify right side
    35,446x = 5,884,577,521
  5. Step 5: Solve for x
    x = 5,884,577,521/35,446
  6. Step 6: Final answer
    x = 166,015.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.