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Finding the Third Proportional to 34.63 and 73.75

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Solution

The third proportional to 34.63 and 73.75 is: 157.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.63 : 73.75 = 73.75 : x
  2. Step 2: Convert to fraction form
    34.63/73.75 = 73.75/x
  3. Step 3: Cross multiply
    34.63x = 73.75 × 73.75
  4. Step 4: Simplify right side
    34.63x = 5,439.06
  5. Step 5: Solve for x
    x = 5,439.06/34.63
  6. Step 6: Final answer
    x = 157.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.