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Finding the Third Proportional to 19.46 and 42.00

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Solution

The third proportional to 19.46 and 42.00 is: 90.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.46 : 42.00 = 42.00 : x
  2. Step 2: Convert to fraction form
    19.46/42.00 = 42.00/x
  3. Step 3: Cross multiply
    19.46x = 42.00 × 42.00
  4. Step 4: Simplify right side
    19.46x = 1,764.25
  5. Step 5: Solve for x
    x = 1,764.25/19.46
  6. Step 6: Final answer
    x = 90.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.