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Finding the Third Proportional to 20,196 and 30,658

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Solution

The third proportional to 20,196 and 30,658 is: 46,539.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,196 : 30,658 = 30,658 : x
  2. Step 2: Convert to fraction form
    20,196/30,658 = 30,658/x
  3. Step 3: Cross multiply
    20,196x = 30,658 × 30,658
  4. Step 4: Simplify right side
    20,196x = 939,912,964
  5. Step 5: Solve for x
    x = 939,912,964/20,196
  6. Step 6: Final answer
    x = 46,539.56

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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.