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Finding the Third Proportional to 10.56 and 25.38

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Solution

The third proportional to 10.56 and 25.38 is: 60.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.56 : 25.38 = 25.38 : x
  2. Step 2: Convert to fraction form
    10.56/25.38 = 25.38/x
  3. Step 3: Cross multiply
    10.56x = 25.38 × 25.38
  4. Step 4: Simplify right side
    10.56x = 643.89
  5. Step 5: Solve for x
    x = 643.89/10.56
  6. Step 6: Final answer
    x = 60.96

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.