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Finding the Third Proportional to 35.59 and 48.59

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Solution

The third proportional to 35.59 and 48.59 is: 66.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.59 : 48.59 = 48.59 : x
  2. Step 2: Convert to fraction form
    35.59/48.59 = 48.59/x
  3. Step 3: Cross multiply
    35.59x = 48.59 × 48.59
  4. Step 4: Simplify right side
    35.59x = 2,361.35
  5. Step 5: Solve for x
    x = 2,361.35/35.59
  6. Step 6: Final answer
    x = 66.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.