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Finding the Third Proportional to 19,494 and 27,774

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Solution

The third proportional to 19,494 and 27,774 is: 39,570.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,494 : 27,774 = 27,774 : x
  2. Step 2: Convert to fraction form
    19,494/27,774 = 27,774/x
  3. Step 3: Cross multiply
    19,494x = 27,774 × 27,774
  4. Step 4: Simplify right side
    19,494x = 771,395,076
  5. Step 5: Solve for x
    x = 771,395,076/19,494
  6. Step 6: Final answer
    x = 39,570.90

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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.