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Finding the Third Proportional to 4,717.50 and 9,996.94

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Solution

The third proportional to 4,717.50 and 9,996.94 is: 21,184.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,717.50 : 9,996.94 = 9,996.94 : x
  2. Step 2: Convert to fraction form
    4,717.50/9,996.94 = 9,996.94/x
  3. Step 3: Cross multiply
    4,717.50x = 9,996.94 × 9,996.94
  4. Step 4: Simplify right side
    4,717.50x = 99,938,759.38
  5. Step 5: Solve for x
    x = 99,938,759.38/4,717.50
  6. Step 6: Final answer
    x = 21,184.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.