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Finding the Third Proportional to 54.84 and 74.53

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Solution

The third proportional to 54.84 and 74.53 is: 101.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.84 : 74.53 = 74.53 : x
  2. Step 2: Convert to fraction form
    54.84/74.53 = 74.53/x
  3. Step 3: Cross multiply
    54.84x = 74.53 × 74.53
  4. Step 4: Simplify right side
    54.84x = 5,554.91
  5. Step 5: Solve for x
    x = 5,554.91/54.84
  6. Step 6: Final answer
    x = 101.29

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.