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Finding the Third Proportional to 12,132 and 19,479

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Solution

The third proportional to 12,132 and 19,479 is: 31,275.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,132 : 19,479 = 19,479 : x
  2. Step 2: Convert to fraction form
    12,132/19,479 = 19,479/x
  3. Step 3: Cross multiply
    12,132x = 19,479 × 19,479
  4. Step 4: Simplify right side
    12,132x = 379,431,441
  5. Step 5: Solve for x
    x = 379,431,441/12,132
  6. Step 6: Final answer
    x = 31,275.26

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.