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Finding the Third Proportional to 9,920 and 19,576

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Solution

The third proportional to 9,920 and 19,576 is: 38,631.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920 : 19,576 = 19,576 : x
  2. Step 2: Convert to fraction form
    9,920/19,576 = 19,576/x
  3. Step 3: Cross multiply
    9,920x = 19,576 × 19,576
  4. Step 4: Simplify right side
    9,920x = 383,219,776
  5. Step 5: Solve for x
    x = 383,219,776/9,920
  6. Step 6: Final answer
    x = 38,631.03

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.