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Finding the Third Proportional to 35.50 and 65.13

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Solution

The third proportional to 35.50 and 65.13 is: 119.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.50 : 65.13 = 65.13 : x
  2. Step 2: Convert to fraction form
    35.50/65.13 = 65.13/x
  3. Step 3: Cross multiply
    35.50x = 65.13 × 65.13
  4. Step 4: Simplify right side
    35.50x = 4,241.27
  5. Step 5: Solve for x
    x = 4,241.27/35.50
  6. Step 6: Final answer
    x = 119.47

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.