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Finding the Third Proportional to 25,086 and 32,625

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Solution

The third proportional to 25,086 and 32,625 is: 42,429.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,086 : 32,625 = 32,625 : x
  2. Step 2: Convert to fraction form
    25,086/32,625 = 32,625/x
  3. Step 3: Cross multiply
    25,086x = 32,625 × 32,625
  4. Step 4: Simplify right side
    25,086x = 1,064,390,625
  5. Step 5: Solve for x
    x = 1,064,390,625/25,086
  6. Step 6: Final answer
    x = 42,429.67

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.