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Finding the Third Proportional to 17,065.69 and 37,234.69

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Solution

The third proportional to 17,065.69 and 37,234.69 is: 81,240.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,065.69 : 37,234.69 = 37,234.69 : x
  2. Step 2: Convert to fraction form
    17,065.69/37,234.69 = 37,234.69/x
  3. Step 3: Cross multiply
    17,065.69x = 37,234.69 × 37,234.69
  4. Step 4: Simplify right side
    17,065.69x = 1,386,421,953.22
  5. Step 5: Solve for x
    x = 1,386,421,953.22/17,065.69
  6. Step 6: Final answer
    x = 81,240.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.