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Finding the Third Proportional to 17,151 and 23,164.50

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Solution

The third proportional to 17,151 and 23,164.50 is: 31,286.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,151 : 23,164.50 = 23,164.50 : x
  2. Step 2: Convert to fraction form
    17,151/23,164.50 = 23,164.50/x
  3. Step 3: Cross multiply
    17,151x = 23,164.50 × 23,164.50
  4. Step 4: Simplify right side
    17,151x = 536,594,060.25
  5. Step 5: Solve for x
    x = 536,594,060.25/17,151
  6. Step 6: Final answer
    x = 31,286.46

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.