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Finding the Third Proportional to 30.06 and 46.43

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Solution

The third proportional to 30.06 and 46.43 is: 71.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.06 : 46.43 = 46.43 : x
  2. Step 2: Convert to fraction form
    30.06/46.43 = 46.43/x
  3. Step 3: Cross multiply
    30.06x = 46.43 × 46.43
  4. Step 4: Simplify right side
    30.06x = 2,155.99
  5. Step 5: Solve for x
    x = 2,155.99/30.06
  6. Step 6: Final answer
    x = 71.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.