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Finding the Third Proportional to 11,707.03 and 17,147.95

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Solution

The third proportional to 11,707.03 and 17,147.95 is: 25,117.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.03 : 17,147.95 = 17,147.95 : x
  2. Step 2: Convert to fraction form
    11,707.03/17,147.95 = 17,147.95/x
  3. Step 3: Cross multiply
    11,707.03x = 17,147.95 × 17,147.95
  4. Step 4: Simplify right side
    11,707.03x = 294,052,296.38
  5. Step 5: Solve for x
    x = 294,052,296.38/11,707.03
  6. Step 6: Final answer
    x = 25,117.58

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.