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Finding the Third Proportional to 10.52 and 25.03

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Solution

The third proportional to 10.52 and 25.03 is: 59.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.52 : 25.03 = 25.03 : x
  2. Step 2: Convert to fraction form
    10.52/25.03 = 25.03/x
  3. Step 3: Cross multiply
    10.52x = 25.03 × 25.03
  4. Step 4: Simplify right side
    10.52x = 626.56
  5. Step 5: Solve for x
    x = 626.56/10.52
  6. Step 6: Final answer
    x = 59.54

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.