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Finding the Third Proportional to 5,223 and 7,840.50

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Solution

The third proportional to 5,223 and 7,840.50 is: 11,769.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223 : 7,840.50 = 7,840.50 : x
  2. Step 2: Convert to fraction form
    5,223/7,840.50 = 7,840.50/x
  3. Step 3: Cross multiply
    5,223x = 7,840.50 × 7,840.50
  4. Step 4: Simplify right side
    5,223x = 61,473,440.25
  5. Step 5: Solve for x
    x = 61,473,440.25/5,223
  6. Step 6: Final answer
    x = 11,769.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.