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Finding the Third Proportional to 30.14 and 45.21

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Solution

The third proportional to 30.14 and 45.21 is: 67.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.14 : 45.21 = 45.21 : x
  2. Step 2: Convert to fraction form
    30.14/45.21 = 45.21/x
  3. Step 3: Cross multiply
    30.14x = 45.21 × 45.21
  4. Step 4: Simplify right side
    30.14x = 2,043.63
  5. Step 5: Solve for x
    x = 2,043.63/30.14
  6. Step 6: Final answer
    x = 67.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.