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Finding the Third Proportional to 39,235 and 84,995.75

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Solution

The third proportional to 39,235 and 84,995.75 is: 184,128.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,235 : 84,995.75 = 84,995.75 : x
  2. Step 2: Convert to fraction form
    39,235/84,995.75 = 84,995.75/x
  3. Step 3: Cross multiply
    39,235x = 84,995.75 × 84,995.75
  4. Step 4: Simplify right side
    39,235x = 7,224,277,518.06
  5. Step 5: Solve for x
    x = 7,224,277,518.06/39,235
  6. Step 6: Final answer
    x = 184,128.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.