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Finding the Third Proportional to 14.45 and 26.49

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Solution

The third proportional to 14.45 and 26.49 is: 48.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.45 : 26.49 = 26.49 : x
  2. Step 2: Convert to fraction form
    14.45/26.49 = 26.49/x
  3. Step 3: Cross multiply
    14.45x = 26.49 × 26.49
  4. Step 4: Simplify right side
    14.45x = 701.46
  5. Step 5: Solve for x
    x = 701.46/14.45
  6. Step 6: Final answer
    x = 48.56

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.