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Finding the Third Proportional to 20,541 and 31,196

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Solution

The third proportional to 20,541 and 31,196 is: 47,377.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,541 : 31,196 = 31,196 : x
  2. Step 2: Convert to fraction form
    20,541/31,196 = 31,196/x
  3. Step 3: Cross multiply
    20,541x = 31,196 × 31,196
  4. Step 4: Simplify right side
    20,541x = 973,190,416
  5. Step 5: Solve for x
    x = 973,190,416/20,541
  6. Step 6: Final answer
    x = 47,377.95

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.