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Finding the Third Proportional to 4,996.69 and 10,813.50

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Solution

The third proportional to 4,996.69 and 10,813.50 is: 23,401.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,996.69 : 10,813.50 = 10,813.50 : x
  2. Step 2: Convert to fraction form
    4,996.69/10,813.50 = 10,813.50/x
  3. Step 3: Cross multiply
    4,996.69x = 10,813.50 × 10,813.50
  4. Step 4: Simplify right side
    4,996.69x = 116,931,782.25
  5. Step 5: Solve for x
    x = 116,931,782.25/4,996.69
  6. Step 6: Final answer
    x = 23,401.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.