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Finding the Third Proportional to 19,620 and 30,398

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Solution

The third proportional to 19,620 and 30,398 is: 47,096.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,620 : 30,398 = 30,398 : x
  2. Step 2: Convert to fraction form
    19,620/30,398 = 30,398/x
  3. Step 3: Cross multiply
    19,620x = 30,398 × 30,398
  4. Step 4: Simplify right side
    19,620x = 924,038,404
  5. Step 5: Solve for x
    x = 924,038,404/19,620
  6. Step 6: Final answer
    x = 47,096.76

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.