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Finding the Third Proportional to 13,664 and 14,768

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Solution

The third proportional to 13,664 and 14,768 is: 15,961.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,664 : 14,768 = 14,768 : x
  2. Step 2: Convert to fraction form
    13,664/14,768 = 14,768/x
  3. Step 3: Cross multiply
    13,664x = 14,768 × 14,768
  4. Step 4: Simplify right side
    13,664x = 218,093,824
  5. Step 5: Solve for x
    x = 218,093,824/13,664
  6. Step 6: Final answer
    x = 15,961.20

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.