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Finding the Third Proportional to 7,983.40 and 17,320.87

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Solution

The third proportional to 7,983.40 and 17,320.87 is: 37,579.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983.40 : 17,320.87 = 17,320.87 : x
  2. Step 2: Convert to fraction form
    7,983.40/17,320.87 = 17,320.87/x
  3. Step 3: Cross multiply
    7,983.40x = 17,320.87 × 17,320.87
  4. Step 4: Simplify right side
    7,983.40x = 300,012,507.79
  5. Step 5: Solve for x
    x = 300,012,507.79/7,983.40
  6. Step 6: Final answer
    x = 37,579.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.