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Finding the Third Proportional to 42,662.06 and 57,431.63

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Solution

The third proportional to 42,662.06 and 57,431.63 is: 77,314.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,662.06 : 57,431.63 = 57,431.63 : x
  2. Step 2: Convert to fraction form
    42,662.06/57,431.63 = 57,431.63/x
  3. Step 3: Cross multiply
    42,662.06x = 57,431.63 × 57,431.63
  4. Step 4: Simplify right side
    42,662.06x = 3,298,391,550.14
  5. Step 5: Solve for x
    x = 3,298,391,550.14/42,662.06
  6. Step 6: Final answer
    x = 77,314.39

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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.