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Finding the Third Proportional to 37,779.75 and 55,262.25

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Solution

The third proportional to 37,779.75 and 55,262.25 is: 80,834.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,779.75 : 55,262.25 = 55,262.25 : x
  2. Step 2: Convert to fraction form
    37,779.75/55,262.25 = 55,262.25/x
  3. Step 3: Cross multiply
    37,779.75x = 55,262.25 × 55,262.25
  4. Step 4: Simplify right side
    37,779.75x = 3,053,916,275.06
  5. Step 5: Solve for x
    x = 3,053,916,275.06/37,779.75
  6. Step 6: Final answer
    x = 80,834.74

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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.