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Finding the Third Proportional to 42.51 and 92.93

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Solution

The third proportional to 42.51 and 92.93 is: 203.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.51 : 92.93 = 92.93 : x
  2. Step 2: Convert to fraction form
    42.51/92.93 = 92.93/x
  3. Step 3: Cross multiply
    42.51x = 92.93 × 92.93
  4. Step 4: Simplify right side
    42.51x = 8,635.73
  5. Step 5: Solve for x
    x = 8,635.73/42.51
  6. Step 6: Final answer
    x = 203.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.