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Finding the Third Proportional to 10,185.75 and 17,065.69

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Solution

The third proportional to 10,185.75 and 17,065.69 is: 28,592.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,185.75 : 17,065.69 = 17,065.69 : x
  2. Step 2: Convert to fraction form
    10,185.75/17,065.69 = 17,065.69/x
  3. Step 3: Cross multiply
    10,185.75x = 17,065.69 × 17,065.69
  4. Step 4: Simplify right side
    10,185.75x = 291,237,689.85
  5. Step 5: Solve for x
    x = 291,237,689.85/10,185.75
  6. Step 6: Final answer
    x = 28,592.66

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.