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Finding the Third Proportional to 34,611 and 45,447

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Solution

The third proportional to 34,611 and 45,447 is: 59,675.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,611 : 45,447 = 45,447 : x
  2. Step 2: Convert to fraction form
    34,611/45,447 = 45,447/x
  3. Step 3: Cross multiply
    34,611x = 45,447 × 45,447
  4. Step 4: Simplify right side
    34,611x = 2,065,429,809
  5. Step 5: Solve for x
    x = 2,065,429,809/34,611
  6. Step 6: Final answer
    x = 59,675.53

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.