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Finding the Third Proportional to 13,529 and 20,807

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Solution

The third proportional to 13,529 and 20,807 is: 32,000.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,529 : 20,807 = 20,807 : x
  2. Step 2: Convert to fraction form
    13,529/20,807 = 20,807/x
  3. Step 3: Cross multiply
    13,529x = 20,807 × 20,807
  4. Step 4: Simplify right side
    13,529x = 432,931,249
  5. Step 5: Solve for x
    x = 432,931,249/13,529
  6. Step 6: Final answer
    x = 32,000.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.