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Finding the Third Proportional to 25.08 and 41.45

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Solution

The third proportional to 25.08 and 41.45 is: 68.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.08 : 41.45 = 41.45 : x
  2. Step 2: Convert to fraction form
    25.08/41.45 = 41.45/x
  3. Step 3: Cross multiply
    25.08x = 41.45 × 41.45
  4. Step 4: Simplify right side
    25.08x = 1,718.04
  5. Step 5: Solve for x
    x = 1,718.04/25.08
  6. Step 6: Final answer
    x = 68.52

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.