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Finding the Third Proportional to 17,389 and 26,165

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Solution

The third proportional to 17,389 and 26,165 is: 39,370.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,389 : 26,165 = 26,165 : x
  2. Step 2: Convert to fraction form
    17,389/26,165 = 26,165/x
  3. Step 3: Cross multiply
    17,389x = 26,165 × 26,165
  4. Step 4: Simplify right side
    17,389x = 684,607,225
  5. Step 5: Solve for x
    x = 684,607,225/17,389
  6. Step 6: Final answer
    x = 39,370.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.