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Finding the Third Proportional to 45.63 and 92.88

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Solution

The third proportional to 45.63 and 92.88 is: 189.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.63 : 92.88 = 92.88 : x
  2. Step 2: Convert to fraction form
    45.63/92.88 = 92.88/x
  3. Step 3: Cross multiply
    45.63x = 92.88 × 92.88
  4. Step 4: Simplify right side
    45.63x = 8,625.77
  5. Step 5: Solve for x
    x = 8,625.77/45.63
  6. Step 6: Final answer
    x = 189.06

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.