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Finding the Third Proportional to 5.84 and 14.78

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Solution

The third proportional to 5.84 and 14.78 is: 37.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.84 : 14.78 = 14.78 : x
  2. Step 2: Convert to fraction form
    5.84/14.78 = 14.78/x
  3. Step 3: Cross multiply
    5.84x = 14.78 × 14.78
  4. Step 4: Simplify right side
    5.84x = 218.54
  5. Step 5: Solve for x
    x = 218.54/5.84
  6. Step 6: Final answer
    x = 37.45

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.