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Finding the Third Proportional to 6,173.19 and 9,806.56

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Solution

The third proportional to 6,173.19 and 9,806.56 is: 15,578.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173.19 : 9,806.56 = 9,806.56 : x
  2. Step 2: Convert to fraction form
    6,173.19/9,806.56 = 9,806.56/x
  3. Step 3: Cross multiply
    6,173.19x = 9,806.56 × 9,806.56
  4. Step 4: Simplify right side
    6,173.19x = 96,168,668.07
  5. Step 5: Solve for x
    x = 96,168,668.07/6,173.19
  6. Step 6: Final answer
    x = 15,578.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.