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Finding the Third Proportional to 10,392.75 and 19,554.75

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Solution

The third proportional to 10,392.75 and 19,554.75 is: 36,793.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,392.75 : 19,554.75 = 19,554.75 : x
  2. Step 2: Convert to fraction form
    10,392.75/19,554.75 = 19,554.75/x
  3. Step 3: Cross multiply
    10,392.75x = 19,554.75 × 19,554.75
  4. Step 4: Simplify right side
    10,392.75x = 382,388,247.56
  5. Step 5: Solve for x
    x = 382,388,247.56/10,392.75
  6. Step 6: Final answer
    x = 36,793.75

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.