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Finding the Third Proportional to 37,983 and 58,965.75

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Solution

The third proportional to 37,983 and 58,965.75 is: 91,539.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,983 : 58,965.75 = 58,965.75 : x
  2. Step 2: Convert to fraction form
    37,983/58,965.75 = 58,965.75/x
  3. Step 3: Cross multiply
    37,983x = 58,965.75 × 58,965.75
  4. Step 4: Simplify right side
    37,983x = 3,476,959,673.06
  5. Step 5: Solve for x
    x = 3,476,959,673.06/37,983
  6. Step 6: Final answer
    x = 91,539.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.