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Finding the Third Proportional to 25.07 and 35.03

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Solution

The third proportional to 25.07 and 35.03 is: 48.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.07 : 35.03 = 35.03 : x
  2. Step 2: Convert to fraction form
    25.07/35.03 = 35.03/x
  3. Step 3: Cross multiply
    25.07x = 35.03 × 35.03
  4. Step 4: Simplify right side
    25.07x = 1,227.23
  5. Step 5: Solve for x
    x = 1,227.23/25.07
  6. Step 6: Final answer
    x = 48.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.