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Finding the Third Proportional to 30 and 59.38

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Solution

The third proportional to 30 and 59.38 is: 117.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30 : 59.38 = 59.38 : x
  2. Step 2: Convert to fraction form
    30/59.38 = 59.38/x
  3. Step 3: Cross multiply
    30x = 59.38 × 59.38
  4. Step 4: Simplify right side
    30x = 3,525.39
  5. Step 5: Solve for x
    x = 3,525.39/30
  6. Step 6: Final answer
    x = 117.51

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.