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Finding the Third Proportional to 18.84 and 29.53

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Solution

The third proportional to 18.84 and 29.53 is: 46.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.84 : 29.53 = 29.53 : x
  2. Step 2: Convert to fraction form
    18.84/29.53 = 29.53/x
  3. Step 3: Cross multiply
    18.84x = 29.53 × 29.53
  4. Step 4: Simplify right side
    18.84x = 872.09
  5. Step 5: Solve for x
    x = 872.09/18.84
  6. Step 6: Final answer
    x = 46.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.