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Finding the Third Proportional to 7,983.56 and 17,242.88

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Solution

The third proportional to 7,983.56 and 17,242.88 is: 37,241.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983.56 : 17,242.88 = 17,242.88 : x
  2. Step 2: Convert to fraction form
    7,983.56/17,242.88 = 17,242.88/x
  3. Step 3: Cross multiply
    7,983.56x = 17,242.88 × 17,242.88
  4. Step 4: Simplify right side
    7,983.56x = 297,316,738.27
  5. Step 5: Solve for x
    x = 297,316,738.27/7,983.56
  6. Step 6: Final answer
    x = 37,241.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.