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Finding the Third Proportional to 2.64 and 6.15

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Solution

The third proportional to 2.64 and 6.15 is: 14.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.64 : 6.15 = 6.15 : x
  2. Step 2: Convert to fraction form
    2.64/6.15 = 6.15/x
  3. Step 3: Cross multiply
    2.64x = 6.15 × 6.15
  4. Step 4: Simplify right side
    2.64x = 37.84
  5. Step 5: Solve for x
    x = 37.84/2.64
  6. Step 6: Final answer
    x = 14.35

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.