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Finding the Third Proportional to 13,826 and 29,985

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Solution

The third proportional to 13,826 and 29,985 is: 65,029.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,826 : 29,985 = 29,985 : x
  2. Step 2: Convert to fraction form
    13,826/29,985 = 29,985/x
  3. Step 3: Cross multiply
    13,826x = 29,985 × 29,985
  4. Step 4: Simplify right side
    13,826x = 899,100,225
  5. Step 5: Solve for x
    x = 899,100,225/13,826
  6. Step 6: Final answer
    x = 65,029.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.