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Finding the Third Proportional to 25.88 and 32.63

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Solution

The third proportional to 25.88 and 32.63 is: 41.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.88 : 32.63 = 32.63 : x
  2. Step 2: Convert to fraction form
    25.88/32.63 = 32.63/x
  3. Step 3: Cross multiply
    25.88x = 32.63 × 32.63
  4. Step 4: Simplify right side
    25.88x = 1,064.39
  5. Step 5: Solve for x
    x = 1,064.39/25.88
  6. Step 6: Final answer
    x = 41.14

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.