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Finding the Third Proportional to 25.59 and 40.69

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Solution

The third proportional to 25.59 and 40.69 is: 64.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.59 : 40.69 = 40.69 : x
  2. Step 2: Convert to fraction form
    25.59/40.69 = 40.69/x
  3. Step 3: Cross multiply
    25.59x = 40.69 × 40.69
  4. Step 4: Simplify right side
    25.59x = 1,655.47
  5. Step 5: Solve for x
    x = 1,655.47/25.59
  6. Step 6: Final answer
    x = 64.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.