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Finding the Third Proportional to 19,476 and 27,558

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Solution

The third proportional to 19,476 and 27,558 is: 38,993.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,476 : 27,558 = 27,558 : x
  2. Step 2: Convert to fraction form
    19,476/27,558 = 27,558/x
  3. Step 3: Cross multiply
    19,476x = 27,558 × 27,558
  4. Step 4: Simplify right side
    19,476x = 759,443,364
  5. Step 5: Solve for x
    x = 759,443,364/19,476
  6. Step 6: Final answer
    x = 38,993.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.