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Finding the Third Proportional to 8,095.65 and 17,421.49

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Solution

The third proportional to 8,095.65 and 17,421.49 is: 37,490.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,095.65 : 17,421.49 = 17,421.49 : x
  2. Step 2: Convert to fraction form
    8,095.65/17,421.49 = 17,421.49/x
  3. Step 3: Cross multiply
    8,095.65x = 17,421.49 × 17,421.49
  4. Step 4: Simplify right side
    8,095.65x = 303,508,185.88
  5. Step 5: Solve for x
    x = 303,508,185.88/8,095.65
  6. Step 6: Final answer
    x = 37,490.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.