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Finding the Third Proportional to 6.24 and 14.64

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Solution

The third proportional to 6.24 and 14.64 is: 34.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.24 : 14.64 = 14.64 : x
  2. Step 2: Convert to fraction form
    6.24/14.64 = 14.64/x
  3. Step 3: Cross multiply
    6.24x = 14.64 × 14.64
  4. Step 4: Simplify right side
    6.24x = 214.43
  5. Step 5: Solve for x
    x = 214.43/6.24
  6. Step 6: Final answer
    x = 34.38

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.