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Finding the Third Proportional to 19,472 and 29,920

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Solution

The third proportional to 19,472 and 29,920 is: 45,974.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,472 : 29,920 = 29,920 : x
  2. Step 2: Convert to fraction form
    19,472/29,920 = 29,920/x
  3. Step 3: Cross multiply
    19,472x = 29,920 × 29,920
  4. Step 4: Simplify right side
    19,472x = 895,206,400
  5. Step 5: Solve for x
    x = 895,206,400/19,472
  6. Step 6: Final answer
    x = 45,974.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.