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Finding the Third Proportional to 19.51 and 42.03

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Solution

The third proportional to 19.51 and 42.03 is: 90.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.51 : 42.03 = 42.03 : x
  2. Step 2: Convert to fraction form
    19.51/42.03 = 42.03/x
  3. Step 3: Cross multiply
    19.51x = 42.03 × 42.03
  4. Step 4: Simplify right side
    19.51x = 1,766.46
  5. Step 5: Solve for x
    x = 1,766.46/19.51
  6. Step 6: Final answer
    x = 90.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.