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Finding the Third Proportional to 16,084.59 and 23,204.25

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Solution

The third proportional to 16,084.59 and 23,204.25 is: 33,475.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,084.59 : 23,204.25 = 23,204.25 : x
  2. Step 2: Convert to fraction form
    16,084.59/23,204.25 = 23,204.25/x
  3. Step 3: Cross multiply
    16,084.59x = 23,204.25 × 23,204.25
  4. Step 4: Simplify right side
    16,084.59x = 538,437,218.06
  5. Step 5: Solve for x
    x = 538,437,218.06/16,084.59
  6. Step 6: Final answer
    x = 33,475.34

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.