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Finding the Third Proportional to 10,955.25 and 17,166.94

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Solution

The third proportional to 10,955.25 and 17,166.94 is: 26,900.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,955.25 : 17,166.94 = 17,166.94 : x
  2. Step 2: Convert to fraction form
    10,955.25/17,166.94 = 17,166.94/x
  3. Step 3: Cross multiply
    10,955.25x = 17,166.94 × 17,166.94
  4. Step 4: Simplify right side
    10,955.25x = 294,703,743.13
  5. Step 5: Solve for x
    x = 294,703,743.13/10,955.25
  6. Step 6: Final answer
    x = 26,900.69

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.