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Finding the Third Proportional to 8.54 and 45.56

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Solution

The third proportional to 8.54 and 45.56 is: 243

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.54 : 45.56 = 45.56 : x
  2. Step 2: Convert to fraction form
    8.54/45.56 = 45.56/x
  3. Step 3: Cross multiply
    8.54x = 45.56 × 45.56
  4. Step 4: Simplify right side
    8.54x = 2,075.94
  5. Step 5: Solve for x
    x = 2,075.94/8.54
  6. Step 6: Final answer
    x = 243

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Why These Related Problems?

These problems maintain the same ratio (5.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.