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Finding the Third Proportional to 53.30 and 82.55

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Solution

The third proportional to 53.30 and 82.55 is: 127.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.30 : 82.55 = 82.55 : x
  2. Step 2: Convert to fraction form
    53.30/82.55 = 82.55/x
  3. Step 3: Cross multiply
    53.30x = 82.55 × 82.55
  4. Step 4: Simplify right side
    53.30x = 6,813.99
  5. Step 5: Solve for x
    x = 6,813.99/53.30
  6. Step 6: Final answer
    x = 127.85

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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.