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Finding the Third Proportional to 5,224 and 5,736

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Solution

The third proportional to 5,224 and 5,736 is: 6,298.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224 : 5,736 = 5,736 : x
  2. Step 2: Convert to fraction form
    5,224/5,736 = 5,736/x
  3. Step 3: Cross multiply
    5,224x = 5,736 × 5,736
  4. Step 4: Simplify right side
    5,224x = 32,901,696
  5. Step 5: Solve for x
    x = 32,901,696/5,224
  6. Step 6: Final answer
    x = 6,298.18

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.