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Finding the Third Proportional to 25.63 and 32.04

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Solution

The third proportional to 25.63 and 32.04 is: 40.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.63 : 32.04 = 32.04 : x
  2. Step 2: Convert to fraction form
    25.63/32.04 = 32.04/x
  3. Step 3: Cross multiply
    25.63x = 32.04 × 32.04
  4. Step 4: Simplify right side
    25.63x = 1,026.31
  5. Step 5: Solve for x
    x = 1,026.31/25.63
  6. Step 6: Final answer
    x = 40.05

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.