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Finding the Third Proportional to 10,476 and 16,162.88

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Solution

The third proportional to 10,476 and 16,162.88 is: 24,936.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476 : 16,162.88 = 16,162.88 : x
  2. Step 2: Convert to fraction form
    10,476/16,162.88 = 16,162.88/x
  3. Step 3: Cross multiply
    10,476x = 16,162.88 × 16,162.88
  4. Step 4: Simplify right side
    10,476x = 261,238,528.27
  5. Step 5: Solve for x
    x = 261,238,528.27/10,476
  6. Step 6: Final answer
    x = 24,936.86

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.