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Finding the Third Proportional to 12,544 and 19,984

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Solution

The third proportional to 12,544 and 19,984 is: 31,836.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,544 : 19,984 = 19,984 : x
  2. Step 2: Convert to fraction form
    12,544/19,984 = 19,984/x
  3. Step 3: Cross multiply
    12,544x = 19,984 × 19,984
  4. Step 4: Simplify right side
    12,544x = 399,360,256
  5. Step 5: Solve for x
    x = 399,360,256/12,544
  6. Step 6: Final answer
    x = 31,836.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.