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Finding the Third Proportional to 3,313 and 5,123.50

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Solution

The third proportional to 3,313 and 5,123.50 is: 7,923.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313 : 5,123.50 = 5,123.50 : x
  2. Step 2: Convert to fraction form
    3,313/5,123.50 = 5,123.50/x
  3. Step 3: Cross multiply
    3,313x = 5,123.50 × 5,123.50
  4. Step 4: Simplify right side
    3,313x = 26,250,252.25
  5. Step 5: Solve for x
    x = 26,250,252.25/3,313
  6. Step 6: Final answer
    x = 7,923.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.