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Finding the Third Proportional to 5,004 and 7,849.69

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Solution

The third proportional to 5,004 and 7,849.69 is: 12,313.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,004 : 7,849.69 = 7,849.69 : x
  2. Step 2: Convert to fraction form
    5,004/7,849.69 = 7,849.69/x
  3. Step 3: Cross multiply
    5,004x = 7,849.69 × 7,849.69
  4. Step 4: Simplify right side
    5,004x = 61,617,593.85
  5. Step 5: Solve for x
    x = 61,617,593.85/5,004
  6. Step 6: Final answer
    x = 12,313.67

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.