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Finding the Third Proportional to 36,930.09 and 53,779.78

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Solution

The third proportional to 36,930.09 and 53,779.78 is: 78,317.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,930.09 : 53,779.78 = 53,779.78 : x
  2. Step 2: Convert to fraction form
    36,930.09/53,779.78 = 53,779.78/x
  3. Step 3: Cross multiply
    36,930.09x = 53,779.78 × 53,779.78
  4. Step 4: Simplify right side
    36,930.09x = 2,892,264,871.30
  5. Step 5: Solve for x
    x = 2,892,264,871.30/36,930.09
  6. Step 6: Final answer
    x = 78,317.29

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.