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Finding the Third Proportional to 17,508.50 and 23,588

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Solution

The third proportional to 17,508.50 and 23,588 is: 31,778.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,508.50 : 23,588 = 23,588 : x
  2. Step 2: Convert to fraction form
    17,508.50/23,588 = 23,588/x
  3. Step 3: Cross multiply
    17,508.50x = 23,588 × 23,588
  4. Step 4: Simplify right side
    17,508.50x = 556,393,744
  5. Step 5: Solve for x
    x = 556,393,744/17,508.50
  6. Step 6: Final answer
    x = 31,778.49

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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.