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Finding the Third Proportional to 51,408.75 and 77,763.75

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Solution

The third proportional to 51,408.75 and 77,763.75 is: 117,629.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,408.75 : 77,763.75 = 77,763.75 : x
  2. Step 2: Convert to fraction form
    51,408.75/77,763.75 = 77,763.75/x
  3. Step 3: Cross multiply
    51,408.75x = 77,763.75 × 77,763.75
  4. Step 4: Simplify right side
    51,408.75x = 6,047,200,814.06
  5. Step 5: Solve for x
    x = 6,047,200,814.06/51,408.75
  6. Step 6: Final answer
    x = 117,629.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.