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Finding the Third Proportional to 39,174.84 and 84,584.06

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Solution

The third proportional to 39,174.84 and 84,584.06 is: 182,629.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,174.84 : 84,584.06 = 84,584.06 : x
  2. Step 2: Convert to fraction form
    39,174.84/84,584.06 = 84,584.06/x
  3. Step 3: Cross multiply
    39,174.84x = 84,584.06 × 84,584.06
  4. Step 4: Simplify right side
    39,174.84x = 7,154,463,629.00
  5. Step 5: Solve for x
    x = 7,154,463,629.00/39,174.84
  6. Step 6: Final answer
    x = 182,629.03

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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.