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Finding the Third Proportional to 17,997.47 and 24,809.16

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Solution

The third proportional to 17,997.47 and 24,809.16 is: 34,198.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,997.47 : 24,809.16 = 24,809.16 : x
  2. Step 2: Convert to fraction form
    17,997.47/24,809.16 = 24,809.16/x
  3. Step 3: Cross multiply
    17,997.47x = 24,809.16 × 24,809.16
  4. Step 4: Simplify right side
    17,997.47x = 615,494,233.84
  5. Step 5: Solve for x
    x = 615,494,233.84/17,997.47
  6. Step 6: Final answer
    x = 34,198.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.