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Finding the Third Proportional to 11,984 and 19,424

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Solution

The third proportional to 11,984 and 19,424 is: 31,482.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,984 : 19,424 = 19,424 : x
  2. Step 2: Convert to fraction form
    11,984/19,424 = 19,424/x
  3. Step 3: Cross multiply
    11,984x = 19,424 × 19,424
  4. Step 4: Simplify right side
    11,984x = 377,291,776
  5. Step 5: Solve for x
    x = 377,291,776/11,984
  6. Step 6: Final answer
    x = 31,482.96

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.