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Finding the Third Proportional to 1,983.75 and 4,593.75

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Solution

The third proportional to 1,983.75 and 4,593.75 is: 10,637.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.75 : 4,593.75 = 4,593.75 : x
  2. Step 2: Convert to fraction form
    1,983.75/4,593.75 = 4,593.75/x
  3. Step 3: Cross multiply
    1,983.75x = 4,593.75 × 4,593.75
  4. Step 4: Simplify right side
    1,983.75x = 21,102,539.06
  5. Step 5: Solve for x
    x = 21,102,539.06/1,983.75
  6. Step 6: Final answer
    x = 10,637.70

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.