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Finding the Third Proportional to 6.16 and 9.48

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Solution

The third proportional to 6.16 and 9.48 is: 14.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.16 : 9.48 = 9.48 : x
  2. Step 2: Convert to fraction form
    6.16/9.48 = 9.48/x
  3. Step 3: Cross multiply
    6.16x = 9.48 × 9.48
  4. Step 4: Simplify right side
    6.16x = 89.82
  5. Step 5: Solve for x
    x = 89.82/6.16
  6. Step 6: Final answer
    x = 14.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.