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Finding the Third Proportional to 17,266.50 and 25,331.06

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Solution

The third proportional to 17,266.50 and 25,331.06 is: 37,162.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,266.50 : 25,331.06 = 25,331.06 : x
  2. Step 2: Convert to fraction form
    17,266.50/25,331.06 = 25,331.06/x
  3. Step 3: Cross multiply
    17,266.50x = 25,331.06 × 25,331.06
  4. Step 4: Simplify right side
    17,266.50x = 641,662,727.38
  5. Step 5: Solve for x
    x = 641,662,727.38/17,266.50
  6. Step 6: Final answer
    x = 37,162.29

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.