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Finding the Third Proportional to 35,982 and 50,456.25

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Solution

The third proportional to 35,982 and 50,456.25 is: 70,752.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,982 : 50,456.25 = 50,456.25 : x
  2. Step 2: Convert to fraction form
    35,982/50,456.25 = 50,456.25/x
  3. Step 3: Cross multiply
    35,982x = 50,456.25 × 50,456.25
  4. Step 4: Simplify right side
    35,982x = 2,545,833,164.06
  5. Step 5: Solve for x
    x = 2,545,833,164.06/35,982
  6. Step 6: Final answer
    x = 70,752.96

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.