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Finding the Third Proportional to 39,333 and 82,508

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Solution

The third proportional to 39,333 and 82,508 is: 173,075.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,333 : 82,508 = 82,508 : x
  2. Step 2: Convert to fraction form
    39,333/82,508 = 82,508/x
  3. Step 3: Cross multiply
    39,333x = 82,508 × 82,508
  4. Step 4: Simplify right side
    39,333x = 6,807,570,064
  5. Step 5: Solve for x
    x = 6,807,570,064/39,333
  6. Step 6: Final answer
    x = 173,075.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.