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Finding the Third Proportional to 7.64 and 14.30

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Solution

The third proportional to 7.64 and 14.30 is: 26.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.64 : 14.30 = 14.30 : x
  2. Step 2: Convert to fraction form
    7.64/14.30 = 14.30/x
  3. Step 3: Cross multiply
    7.64x = 14.30 × 14.30
  4. Step 4: Simplify right side
    7.64x = 204.61
  5. Step 5: Solve for x
    x = 204.61/7.64
  6. Step 6: Final answer
    x = 26.78

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.