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Finding the Third Proportional to 30.66 and 45.14

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Solution

The third proportional to 30.66 and 45.14 is: 66.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.66 : 45.14 = 45.14 : x
  2. Step 2: Convert to fraction form
    30.66/45.14 = 45.14/x
  3. Step 3: Cross multiply
    30.66x = 45.14 × 45.14
  4. Step 4: Simplify right side
    30.66x = 2,037.68
  5. Step 5: Solve for x
    x = 2,037.68/30.66
  6. Step 6: Final answer
    x = 66.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.