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Finding the Third Proportional to 55.13 and 73.55

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Solution

The third proportional to 55.13 and 73.55 is: 98.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.13 : 73.55 = 73.55 : x
  2. Step 2: Convert to fraction form
    55.13/73.55 = 73.55/x
  3. Step 3: Cross multiply
    55.13x = 73.55 × 73.55
  4. Step 4: Simplify right side
    55.13x = 5,409.14
  5. Step 5: Solve for x
    x = 5,409.14/55.13
  6. Step 6: Final answer
    x = 98.13

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.