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Finding the Third Proportional to 37,176.75 and 55,809

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Solution

The third proportional to 37,176.75 and 55,809 is: 83,779.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,176.75 : 55,809 = 55,809 : x
  2. Step 2: Convert to fraction form
    37,176.75/55,809 = 55,809/x
  3. Step 3: Cross multiply
    37,176.75x = 55,809 × 55,809
  4. Step 4: Simplify right side
    37,176.75x = 3,114,644,481
  5. Step 5: Solve for x
    x = 3,114,644,481/37,176.75
  6. Step 6: Final answer
    x = 83,779.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.