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Finding the Third Proportional to 17,004.09 and 24,176.81

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Solution

The third proportional to 17,004.09 and 24,176.81 is: 34,375.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,004.09 : 24,176.81 = 24,176.81 : x
  2. Step 2: Convert to fraction form
    17,004.09/24,176.81 = 24,176.81/x
  3. Step 3: Cross multiply
    17,004.09x = 24,176.81 × 24,176.81
  4. Step 4: Simplify right side
    17,004.09x = 584,518,262.66
  5. Step 5: Solve for x
    x = 584,518,262.66/17,004.09
  6. Step 6: Final answer
    x = 34,375.15

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.