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Finding the Third Proportional to 19,024 and 30,400

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Solution

The third proportional to 19,024 and 30,400 is: 48,578.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,024 : 30,400 = 30,400 : x
  2. Step 2: Convert to fraction form
    19,024/30,400 = 30,400/x
  3. Step 3: Cross multiply
    19,024x = 30,400 × 30,400
  4. Step 4: Simplify right side
    19,024x = 924,160,000
  5. Step 5: Solve for x
    x = 924,160,000/19,024
  6. Step 6: Final answer
    x = 48,578.64

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.