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Finding the Third Proportional to 39,336 and 84,954

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Solution

The third proportional to 39,336 and 84,954 is: 183,475.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,336 : 84,954 = 84,954 : x
  2. Step 2: Convert to fraction form
    39,336/84,954 = 84,954/x
  3. Step 3: Cross multiply
    39,336x = 84,954 × 84,954
  4. Step 4: Simplify right side
    39,336x = 7,217,182,116
  5. Step 5: Solve for x
    x = 7,217,182,116/39,336
  6. Step 6: Final answer
    x = 183,475.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.