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Finding the Third Proportional to 19,550 and 27,682

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Solution

The third proportional to 19,550 and 27,682 is: 39,196.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,550 : 27,682 = 27,682 : x
  2. Step 2: Convert to fraction form
    19,550/27,682 = 27,682/x
  3. Step 3: Cross multiply
    19,550x = 27,682 × 27,682
  4. Step 4: Simplify right side
    19,550x = 766,293,124
  5. Step 5: Solve for x
    x = 766,293,124/19,550
  6. Step 6: Final answer
    x = 39,196.58

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1.5x scale

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.