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Finding the Third Proportional to 34.45 and 53.30

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Solution

The third proportional to 34.45 and 53.30 is: 82.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.45 : 53.30 = 53.30 : x
  2. Step 2: Convert to fraction form
    34.45/53.30 = 53.30/x
  3. Step 3: Cross multiply
    34.45x = 53.30 × 53.30
  4. Step 4: Simplify right side
    34.45x = 2,840.56
  5. Step 5: Solve for x
    x = 2,840.56/34.45
  6. Step 6: Final answer
    x = 82.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.