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Finding the Third Proportional to 14.49 and 37.15

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Solution

The third proportional to 14.49 and 37.15 is: 95.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.49 : 37.15 = 37.15 : x
  2. Step 2: Convert to fraction form
    14.49/37.15 = 37.15/x
  3. Step 3: Cross multiply
    14.49x = 37.15 × 37.15
  4. Step 4: Simplify right side
    14.49x = 1,380.11
  5. Step 5: Solve for x
    x = 1,380.11/14.49
  6. Step 6: Final answer
    x = 95.25

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.