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Finding the Third Proportional to 30.32 and 42.18

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Solution

The third proportional to 30.32 and 42.18 is: 58.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.32 : 42.18 = 42.18 : x
  2. Step 2: Convert to fraction form
    30.32/42.18 = 42.18/x
  3. Step 3: Cross multiply
    30.32x = 42.18 × 42.18
  4. Step 4: Simplify right side
    30.32x = 1,779.18
  5. Step 5: Solve for x
    x = 1,779.18/30.32
  6. Step 6: Final answer
    x = 58.69

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.