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Finding the Third Proportional to 20,312 and 29,766

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Solution

The third proportional to 20,312 and 29,766 is: 43,620.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,312 : 29,766 = 29,766 : x
  2. Step 2: Convert to fraction form
    20,312/29,766 = 29,766/x
  3. Step 3: Cross multiply
    20,312x = 29,766 × 29,766
  4. Step 4: Simplify right side
    20,312x = 886,014,756
  5. Step 5: Solve for x
    x = 886,014,756/20,312
  6. Step 6: Final answer
    x = 43,620.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.