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Finding the Third Proportional to 17,164.13 and 25,189.31

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Solution

The third proportional to 17,164.13 and 25,189.31 is: 36,966.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,164.13 : 25,189.31 = 25,189.31 : x
  2. Step 2: Convert to fraction form
    17,164.13/25,189.31 = 25,189.31/x
  3. Step 3: Cross multiply
    17,164.13x = 25,189.31 × 25,189.31
  4. Step 4: Simplify right side
    17,164.13x = 634,501,464.22
  5. Step 5: Solve for x
    x = 634,501,464.22/17,164.13
  6. Step 6: Final answer
    x = 36,966.72

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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.