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Finding the Third Proportional to 39,716 and 86,551

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Solution

The third proportional to 39,716 and 86,551 is: 188,616.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,716 : 86,551 = 86,551 : x
  2. Step 2: Convert to fraction form
    39,716/86,551 = 86,551/x
  3. Step 3: Cross multiply
    39,716x = 86,551 × 86,551
  4. Step 4: Simplify right side
    39,716x = 7,491,075,601
  5. Step 5: Solve for x
    x = 7,491,075,601/39,716
  6. Step 6: Final answer
    x = 188,616.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.