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Finding the Third Proportional to 6,313 and 13,453

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Solution

The third proportional to 6,313 and 13,453 is: 28,668.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313 : 13,453 = 13,453 : x
  2. Step 2: Convert to fraction form
    6,313/13,453 = 13,453/x
  3. Step 3: Cross multiply
    6,313x = 13,453 × 13,453
  4. Step 4: Simplify right side
    6,313x = 180,983,209
  5. Step 5: Solve for x
    x = 180,983,209/6,313
  6. Step 6: Final answer
    x = 28,668.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.