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Finding the Third Proportional to 10,703.63 and 17,046.38

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Solution

The third proportional to 10,703.63 and 17,046.38 is: 27,147.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.63 : 17,046.38 = 17,046.38 : x
  2. Step 2: Convert to fraction form
    10,703.63/17,046.38 = 17,046.38/x
  3. Step 3: Cross multiply
    10,703.63x = 17,046.38 × 17,046.38
  4. Step 4: Simplify right side
    10,703.63x = 290,578,900.64
  5. Step 5: Solve for x
    x = 290,578,900.64/10,703.63
  6. Step 6: Final answer
    x = 27,147.71

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