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Finding the Third Proportional to 16,265.81 and 23,697.56

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Solution

The third proportional to 16,265.81 and 23,697.56 is: 34,524.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,265.81 : 23,697.56 = 23,697.56 : x
  2. Step 2: Convert to fraction form
    16,265.81/23,697.56 = 23,697.56/x
  3. Step 3: Cross multiply
    16,265.81x = 23,697.56 × 23,697.56
  4. Step 4: Simplify right side
    16,265.81x = 561,574,468.44
  5. Step 5: Solve for x
    x = 561,574,468.44/16,265.81
  6. Step 6: Final answer
    x = 34,524.83

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.