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Finding the Third Proportional to 10,476.75 and 16,182.75

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Solution

The third proportional to 10,476.75 and 16,182.75 is: 24,996.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.75 : 16,182.75 = 16,182.75 : x
  2. Step 2: Convert to fraction form
    10,476.75/16,182.75 = 16,182.75/x
  3. Step 3: Cross multiply
    10,476.75x = 16,182.75 × 16,182.75
  4. Step 4: Simplify right side
    10,476.75x = 261,881,397.56
  5. Step 5: Solve for x
    x = 261,881,397.56/10,476.75
  6. Step 6: Final answer
    x = 24,996.43

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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.