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Finding the Third Proportional to 36,495.56 and 78,686.44

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Solution

The third proportional to 36,495.56 and 78,686.44 is: 169,652.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,495.56 : 78,686.44 = 78,686.44 : x
  2. Step 2: Convert to fraction form
    36,495.56/78,686.44 = 78,686.44/x
  3. Step 3: Cross multiply
    36,495.56x = 78,686.44 × 78,686.44
  4. Step 4: Simplify right side
    36,495.56x = 6,191,555,446.44
  5. Step 5: Solve for x
    x = 6,191,555,446.44/36,495.56
  6. Step 6: Final answer
    x = 169,652.28

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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.