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Finding the Third Proportional to 36,929.25 and 78,779.25

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Solution

The third proportional to 36,929.25 and 78,779.25 is: 168,055.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,929.25 : 78,779.25 = 78,779.25 : x
  2. Step 2: Convert to fraction form
    36,929.25/78,779.25 = 78,779.25/x
  3. Step 3: Cross multiply
    36,929.25x = 78,779.25 × 78,779.25
  4. Step 4: Simplify right side
    36,929.25x = 6,206,170,230.56
  5. Step 5: Solve for x
    x = 6,206,170,230.56/36,929.25
  6. Step 6: Final answer
    x = 168,055.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.