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Finding the Third Proportional to 30.59 and 41.55

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Solution

The third proportional to 30.59 and 41.55 is: 56.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.59 : 41.55 = 41.55 : x
  2. Step 2: Convert to fraction form
    30.59/41.55 = 41.55/x
  3. Step 3: Cross multiply
    30.59x = 41.55 × 41.55
  4. Step 4: Simplify right side
    30.59x = 1,726.79
  5. Step 5: Solve for x
    x = 1,726.79/30.59
  6. Step 6: Final answer
    x = 56.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.