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Finding the Third Proportional to 39,134.25 and 63,009

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Solution

The third proportional to 39,134.25 and 63,009 is: 101,449.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,134.25 : 63,009 = 63,009 : x
  2. Step 2: Convert to fraction form
    39,134.25/63,009 = 63,009/x
  3. Step 3: Cross multiply
    39,134.25x = 63,009 × 63,009
  4. Step 4: Simplify right side
    39,134.25x = 3,970,134,081
  5. Step 5: Solve for x
    x = 3,970,134,081/39,134.25
  6. Step 6: Final answer
    x = 101,449.09

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.