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Finding the Third Proportional to 17,098.50 and 38,588

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Solution

The third proportional to 17,098.50 and 38,588 is: 87,085.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,098.50 : 38,588 = 38,588 : x
  2. Step 2: Convert to fraction form
    17,098.50/38,588 = 38,588/x
  3. Step 3: Cross multiply
    17,098.50x = 38,588 × 38,588
  4. Step 4: Simplify right side
    17,098.50x = 1,489,033,744
  5. Step 5: Solve for x
    x = 1,489,033,744/17,098.50
  6. Step 6: Final answer
    x = 87,085.64

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.