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Finding the Third Proportional to 5.60 and 14.39

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Solution

The third proportional to 5.60 and 14.39 is: 36.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.60 : 14.39 = 14.39 : x
  2. Step 2: Convert to fraction form
    5.60/14.39 = 14.39/x
  3. Step 3: Cross multiply
    5.60x = 14.39 × 14.39
  4. Step 4: Simplify right side
    5.60x = 207.06
  5. Step 5: Solve for x
    x = 207.06/5.60
  6. Step 6: Final answer
    x = 36.96

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.