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Finding the Third Proportional to 42,972.94 and 65,571.75

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Solution

The third proportional to 42,972.94 and 65,571.75 is: 100,054.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,972.94 : 65,571.75 = 65,571.75 : x
  2. Step 2: Convert to fraction form
    42,972.94/65,571.75 = 65,571.75/x
  3. Step 3: Cross multiply
    42,972.94x = 65,571.75 × 65,571.75
  4. Step 4: Simplify right side
    42,972.94x = 4,299,654,398.06
  5. Step 5: Solve for x
    x = 4,299,654,398.06/42,972.94
  6. Step 6: Final answer
    x = 100,054.93

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.