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Finding the Third Proportional to 36,952.13 and 83,768.25

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Solution

The third proportional to 36,952.13 and 83,768.25 is: 189,897.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,952.13 : 83,768.25 = 83,768.25 : x
  2. Step 2: Convert to fraction form
    36,952.13/83,768.25 = 83,768.25/x
  3. Step 3: Cross multiply
    36,952.13x = 83,768.25 × 83,768.25
  4. Step 4: Simplify right side
    36,952.13x = 7,017,119,708.06
  5. Step 5: Solve for x
    x = 7,017,119,708.06/36,952.13
  6. Step 6: Final answer
    x = 189,897.60

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.