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Finding the Third Proportional to 10.56 and 16.34

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Solution

The third proportional to 10.56 and 16.34 is: 25.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.56 : 16.34 = 16.34 : x
  2. Step 2: Convert to fraction form
    10.56/16.34 = 16.34/x
  3. Step 3: Cross multiply
    10.56x = 16.34 × 16.34
  4. Step 4: Simplify right side
    10.56x = 267.12
  5. Step 5: Solve for x
    x = 267.12/10.56
  6. Step 6: Final answer
    x = 25.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.