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Finding the Third Proportional to 42.95 and 93.85

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Solution

The third proportional to 42.95 and 93.85 is: 205.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.95 : 93.85 = 93.85 : x
  2. Step 2: Convert to fraction form
    42.95/93.85 = 93.85/x
  3. Step 3: Cross multiply
    42.95x = 93.85 × 93.85
  4. Step 4: Simplify right side
    42.95x = 8,808.57
  5. Step 5: Solve for x
    x = 8,808.57/42.95
  6. Step 6: Final answer
    x = 205.08

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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.