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Finding the Third Proportional to 19,498 and 27,780

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Solution

The third proportional to 19,498 and 27,780 is: 39,579.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,498 : 27,780 = 27,780 : x
  2. Step 2: Convert to fraction form
    19,498/27,780 = 27,780/x
  3. Step 3: Cross multiply
    19,498x = 27,780 × 27,780
  4. Step 4: Simplify right side
    19,498x = 771,728,400
  5. Step 5: Solve for x
    x = 771,728,400/19,498
  6. Step 6: Final answer
    x = 39,579.87

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.