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Finding the Third Proportional to 36,930.38 and 78,291.75

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Solution

The third proportional to 36,930.38 and 78,291.75 is: 165,977.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,930.38 : 78,291.75 = 78,291.75 : x
  2. Step 2: Convert to fraction form
    36,930.38/78,291.75 = 78,291.75/x
  3. Step 3: Cross multiply
    36,930.38x = 78,291.75 × 78,291.75
  4. Step 4: Simplify right side
    36,930.38x = 6,129,598,118.06
  5. Step 5: Solve for x
    x = 6,129,598,118.06/36,930.38
  6. Step 6: Final answer
    x = 165,977.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.