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Finding the Third Proportional to 19,472 and 30,420

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Solution

The third proportional to 19,472 and 30,420 is: 47,523.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,472 : 30,420 = 30,420 : x
  2. Step 2: Convert to fraction form
    19,472/30,420 = 30,420/x
  3. Step 3: Cross multiply
    19,472x = 30,420 × 30,420
  4. Step 4: Simplify right side
    19,472x = 925,376,400
  5. Step 5: Solve for x
    x = 925,376,400/19,472
  6. Step 6: Final answer
    x = 47,523.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.