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Finding the Third Proportional to 6,109.17 and 10,192.71

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Solution

The third proportional to 6,109.17 and 10,192.71 is: 17,005.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.17 : 10,192.71 = 10,192.71 : x
  2. Step 2: Convert to fraction form
    6,109.17/10,192.71 = 10,192.71/x
  3. Step 3: Cross multiply
    6,109.17x = 10,192.71 × 10,192.71
  4. Step 4: Simplify right side
    6,109.17x = 103,891,356.26
  5. Step 5: Solve for x
    x = 103,891,356.26/6,109.17
  6. Step 6: Final answer
    x = 17,005.80

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.