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Finding the Third Proportional to 36,313.31 and 78,362.44

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Solution

The third proportional to 36,313.31 and 78,362.44 is: 169,102.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,313.31 : 78,362.44 = 78,362.44 : x
  2. Step 2: Convert to fraction form
    36,313.31/78,362.44 = 78,362.44/x
  3. Step 3: Cross multiply
    36,313.31x = 78,362.44 × 78,362.44
  4. Step 4: Simplify right side
    36,313.31x = 6,140,671,610.94
  5. Step 5: Solve for x
    x = 6,140,671,610.94/36,313.31
  6. Step 6: Final answer
    x = 169,102.49

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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.