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Finding the Third Proportional to 16,697.23 and 34,772.02

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Solution

The third proportional to 16,697.23 and 34,772.02 is: 72,412.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,697.23 : 34,772.02 = 34,772.02 : x
  2. Step 2: Convert to fraction form
    16,697.23/34,772.02 = 34,772.02/x
  3. Step 3: Cross multiply
    16,697.23x = 34,772.02 × 34,772.02
  4. Step 4: Simplify right side
    16,697.23x = 1,209,093,274.37
  5. Step 5: Solve for x
    x = 1,209,093,274.37/16,697.23
  6. Step 6: Final answer
    x = 72,412.80

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.