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Finding the Third Proportional to 42,774.75 and 65,832.75

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Solution

The third proportional to 42,774.75 and 65,832.75 is: 101,320.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,774.75 : 65,832.75 = 65,832.75 : x
  2. Step 2: Convert to fraction form
    42,774.75/65,832.75 = 65,832.75/x
  3. Step 3: Cross multiply
    42,774.75x = 65,832.75 × 65,832.75
  4. Step 4: Simplify right side
    42,774.75x = 4,333,950,972.56
  5. Step 5: Solve for x
    x = 4,333,950,972.56/42,774.75
  6. Step 6: Final answer
    x = 101,320.31

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.