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Finding the Third Proportional to 12,882 and 19,905

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Solution

The third proportional to 12,882 and 19,905 is: 30,756.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,882 : 19,905 = 19,905 : x
  2. Step 2: Convert to fraction form
    12,882/19,905 = 19,905/x
  3. Step 3: Cross multiply
    12,882x = 19,905 × 19,905
  4. Step 4: Simplify right side
    12,882x = 396,209,025
  5. Step 5: Solve for x
    x = 396,209,025/12,882
  6. Step 6: Final answer
    x = 30,756.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.