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Finding the Third Proportional to 10,635.75 and 16,325.44

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Solution

The third proportional to 10,635.75 and 16,325.44 is: 25,058.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.75 : 16,325.44 = 16,325.44 : x
  2. Step 2: Convert to fraction form
    10,635.75/16,325.44 = 16,325.44/x
  3. Step 3: Cross multiply
    10,635.75x = 16,325.44 × 16,325.44
  4. Step 4: Simplify right side
    10,635.75x = 266,519,909.57
  5. Step 5: Solve for x
    x = 266,519,909.57/10,635.75
  6. Step 6: Final answer
    x = 25,058.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.