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Finding the Third Proportional to 39,405 and 85,509

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Solution

The third proportional to 39,405 and 85,509 is: 185,554.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,405 : 85,509 = 85,509 : x
  2. Step 2: Convert to fraction form
    39,405/85,509 = 85,509/x
  3. Step 3: Cross multiply
    39,405x = 85,509 × 85,509
  4. Step 4: Simplify right side
    39,405x = 7,311,789,081
  5. Step 5: Solve for x
    x = 7,311,789,081/39,405
  6. Step 6: Final answer
    x = 185,554.86

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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.