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Finding the Third Proportional to 35,404 and 77,611

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Solution

The third proportional to 35,404 and 77,611 is: 170,135.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,404 : 77,611 = 77,611 : x
  2. Step 2: Convert to fraction form
    35,404/77,611 = 77,611/x
  3. Step 3: Cross multiply
    35,404x = 77,611 × 77,611
  4. Step 4: Simplify right side
    35,404x = 6,023,467,321
  5. Step 5: Solve for x
    x = 6,023,467,321/35,404
  6. Step 6: Final answer
    x = 170,135.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.