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Finding the Third Proportional to 21,059 and 31,556

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Solution

The third proportional to 21,059 and 31,556 is: 47,285.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,059 : 31,556 = 31,556 : x
  2. Step 2: Convert to fraction form
    21,059/31,556 = 31,556/x
  3. Step 3: Cross multiply
    21,059x = 31,556 × 31,556
  4. Step 4: Simplify right side
    21,059x = 995,781,136
  5. Step 5: Solve for x
    x = 995,781,136/21,059
  6. Step 6: Final answer
    x = 47,285.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.