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Finding the Third Proportional to 17,389.69 and 23,452.03

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Solution

The third proportional to 17,389.69 and 23,452.03 is: 31,627.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,389.69 : 23,452.03 = 23,452.03 : x
  2. Step 2: Convert to fraction form
    17,389.69/23,452.03 = 23,452.03/x
  3. Step 3: Cross multiply
    17,389.69x = 23,452.03 × 23,452.03
  4. Step 4: Simplify right side
    17,389.69x = 549,997,769.75
  5. Step 5: Solve for x
    x = 549,997,769.75/17,389.69
  6. Step 6: Final answer
    x = 31,627.81

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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.