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Finding the Third Proportional to 5,313 and 11,674.50

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Solution

The third proportional to 5,313 and 11,674.50 is: 25,652.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313 : 11,674.50 = 11,674.50 : x
  2. Step 2: Convert to fraction form
    5,313/11,674.50 = 11,674.50/x
  3. Step 3: Cross multiply
    5,313x = 11,674.50 × 11,674.50
  4. Step 4: Simplify right side
    5,313x = 136,293,950.25
  5. Step 5: Solve for x
    x = 136,293,950.25/5,313
  6. Step 6: Final answer
    x = 25,652.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.