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Finding the Third Proportional to 30.41 and 43.59

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Solution

The third proportional to 30.41 and 43.59 is: 62.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.41 : 43.59 = 43.59 : x
  2. Step 2: Convert to fraction form
    30.41/43.59 = 43.59/x
  3. Step 3: Cross multiply
    30.41x = 43.59 × 43.59
  4. Step 4: Simplify right side
    30.41x = 1,899.80
  5. Step 5: Solve for x
    x = 1,899.80/30.41
  6. Step 6: Final answer
    x = 62.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.