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Finding the Third Proportional to 6,109.65 and 9,192.23

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Solution

The third proportional to 6,109.65 and 9,192.23 is: 13,830.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.65 : 9,192.23 = 9,192.23 : x
  2. Step 2: Convert to fraction form
    6,109.65/9,192.23 = 9,192.23/x
  3. Step 3: Cross multiply
    6,109.65x = 9,192.23 × 9,192.23
  4. Step 4: Simplify right side
    6,109.65x = 84,497,172.80
  5. Step 5: Solve for x
    x = 84,497,172.80/6,109.65
  6. Step 6: Final answer
    x = 13,830.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.