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Finding the Third Proportional to 57,408.75 and 77,501.81

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Solution

The third proportional to 57,408.75 and 77,501.81 is: 104,627.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,408.75 : 77,501.81 = 77,501.81 : x
  2. Step 2: Convert to fraction form
    57,408.75/77,501.81 = 77,501.81/x
  3. Step 3: Cross multiply
    57,408.75x = 77,501.81 × 77,501.81
  4. Step 4: Simplify right side
    57,408.75x = 6,006,530,940.79
  5. Step 5: Solve for x
    x = 6,006,530,940.79/57,408.75
  6. Step 6: Final answer
    x = 104,627.45

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.