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Finding the Third Proportional to 7,502.75 and 17,369.75

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Solution

The third proportional to 7,502.75 and 17,369.75 is: 40,213.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502.75 : 17,369.75 = 17,369.75 : x
  2. Step 2: Convert to fraction form
    7,502.75/17,369.75 = 17,369.75/x
  3. Step 3: Cross multiply
    7,502.75x = 17,369.75 × 17,369.75
  4. Step 4: Simplify right side
    7,502.75x = 301,708,215.06
  5. Step 5: Solve for x
    x = 301,708,215.06/7,502.75
  6. Step 6: Final answer
    x = 40,213.02

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Why These Related Problems?

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