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Finding the Third Proportional to 2,156.63 and 4,996.69

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Solution

The third proportional to 2,156.63 and 4,996.69 is: 11,576.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.63 : 4,996.69 = 4,996.69 : x
  2. Step 2: Convert to fraction form
    2,156.63/4,996.69 = 4,996.69/x
  3. Step 3: Cross multiply
    2,156.63x = 4,996.69 × 4,996.69
  4. Step 4: Simplify right side
    2,156.63x = 24,966,885.97
  5. Step 5: Solve for x
    x = 24,966,885.97/2,156.63
  6. Step 6: Final answer
    x = 11,576.83

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.